Google and FB contacts are merged - Why won't they sync?

My phone contacts are from both GMail contacts and Facebook. And they're all connected/merged appropriately: It knows that Bob Smith in GMail is also Bob Smith in Facebook. All good.

Is there any way now to sync that information with my GMail contacts? For example, Bob Smith posted his number in Facebook, so I have it in my phone contacts, but NOT in my GMail contacts, for some reason. I'd like to automatically sync that information with my GMail contacts as well.

The reason I'm trying to do this is I want to use a new contacts app (Smartr Contacts), and it draws info from my GMail account -- and I'm noticing a lot of my friends' phone numbers aren't in their GMail contact info. Thoughts?

I'm using an S3 if that matters.

You didnt merged fb contacts with google, but with contacts on your phone