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You can't do that with AE straight out of the box... oh, wait, AE doesn't come in a box any more.
Well, you can't do it without a sphere plugin like Boris Sphere, which lets you start with a flat spherical map and turn into a sphere or vice-versa.
Be warned that spherical maps (google the term) are really goofy-looking when flat. They don't look like the good ol' Mercator map projections you're used to.
You might also want to google the term map projection or look it up on Wikipedia. This stuff isn't as straightforward as you might think.
You should start with two orthographic images, one a map, one the earth:
Line them up, apply both as textures for a CC Sphere. You'll end up with two sphere layers. Put the map on the top copy.
Animate opacity of the Map Sphere and start pushing in on both layers.
Add a copy of your map layer as a flat 2D layer. Add the bulge effect and line up the image so it matches the map on the sphere.
Animate opacity and the bulge effect and move your map layer into position.
There are dozens of ways to do what you want, this is only one idea.
thanks Dave and Rick