The problem is "related to the business of the company". For a small company, that may seem reasonable, because the company probably only does one or two things

The problem is "related to the business of the company". For a small company, that may seem reasonable, because the company probably only does one or two things. However, for a large company like Google, that basically means "everything". In my opinion, the right approach is to instead talk about your work duties at the company. If you work on your own time on something unrelated to your work duties, but related to someone else's at the company, you should still get to keep full rights to your work. If you weren't asked to do that work for your job, why would the company have a right to the result, even if they find they have some interest in it?