(Gage Skidmore, Creative Commons)

Maine, which began its weeklong caucus on Saturday, will announce the winner on Feb. 11.

Romney won about 48 percent of votes, compared with 23 percent for Newt Gingrich and 19 percent for Ron Paul when tallies were nearly finalized early Sunday morning, according to the Guardian. Rick Santorum trailed in last with 11 percent.

One day after the Nevada race, Romney’s rivals appeared on Sunday morning news shows, pledging to continue their campaigns.

Gingrich tried to downplay the significance of Nevada’s caucus results during an appearance on NBC’s “Meet the Press.”

"This is the state he won last time, and he won it this time," Gingrich said. "Our goal is to get to Super Tuesday where we're in much more favorable territory."

Paul is the only 2012 Republican hopeful who has yet to win a primary or caucus, and despite a third-place showing in Nevada, he said there are no plans to drop out of the race, ABC News reported.

“Of course you set [the bar] for victory, but you have to live in the real world,” Paul told “This Week” host George Stephanopoulos. “But we have three or four caucus states that we believe our numbers are doing pretty good and we have to wait and see and keep doing exactly what we’re doing.”

Win or lose, the Texas congressman said he has already left his mark on the campaign.

“There is an intellectual revolution going on with the young people,” Paul said. “It has not been translated into an absolute political change, but, believe me, there is an intellectual revolution going on and that has to come first before we see big political changes.”

Santorum, even with a campaign that has sputtered since a victory in Iowa, also vowed to stay in the contest during an interview on Fox News Sunday. The former Pennsylvania senator criticized Romney and Gingrich for being "flawed" candidates.

“This race is a long, long way from being over,” Santorum, said. “I think we’re going to do very well here in Minnesota. I think we’re going to do very well in Colorado.”

Colorado will award 36 delegates, while 40 delegates are up for grabs in Minnesota. Maine will have 24 delegates at stake.

Reach executive producer Danny Lee by email or follow him on Twitter.