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We hate to be the ones to tell you this, but cartoons have been lying to you. If you were standing on American soil and dug straight through the Earth, you would not end up in China—you would actually pop up in the middle of the Indian Ocean. Today's map, which was recently popular on the MapPorn subreddit, is informative, albeit a bit disappointing. It shows where you would end up if you tunneled through the planet. As you can see by the criminal lack of overlap, there are very few places to dig without hitting ocean.
See Also: What's on the Other Side of the Ocean?