Yes, Google made Chrome. Keep in mind that they created Googlebot, and Chrome is really only a "slimmed down" version of Googlebot. Chrome came about because of Googlebot.
Or maybe they did it to get full access to the users (having access to your customers through other providers sks), get a more stable web experience (which increases the numbers of all users and thereby the number of google ad viewers), and have more power in the definition of web standards?