Why did the small states decide to support a strong central government after the compromise?

Because the Conneticut plan (the great compromise) consisted of the house of reps. which was based off a states population. and then a Senate which each state was only allowed 2 senators. From what i could tell, the smaller states went along with it figuring that even though they possibly couldnt win in the house of Reps. then there were enough of them to team up in the Senate to block any bill they didnt agree with.