Sorry, but you're incorrect. By INCREASING the diameter of the rear wheel you have INCREASED the distance that you will travel (per RPM) which means that you will use FEWER engine revolutions to go a given distance w/ the larger rear tire.I think it will be the other way round. Similar to adding a tooth or two to the rear sprocket. More RPM at each speed.
Increasing the number of teeth in your rear sprocket will cause you to use MORE engine revolutions per turn of the rear wheel.