Any browser can be run in 32bit mode if you right click it > Get Info > Open in 32-bit mode.
Java 7 won't work in Chrome since Java is built as a 64-bit application and Chrome is only a 32-bit application. So, I suppose my question is "what problem are you running into?" I ask since Java, as I mentioned, is 64-bit and won't run in a 32-bit application.
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