Facebook Twitter Integration

PLEASE READ CAREFULLY!!! Hi There. I have a very specific issue I was wondering if you could help me with. I have set up several Facebook business pages. I have corresponding twitter accounts for each one of these business pages. I want to connect the two. I would like my Facebook posts to be sent to Twitter and my twitter posts to be sent to Facebook. I know what your saying....'Piece of cake!!' right?? Hold just one second. I DO NOT HAVE A FACEBOOK PAGE. There are no admin's for the business pages. They are just business pages. The are not attached to personal Facebook pages. When I created the pages I selected create business page and did the work. After you complete building the page and you go to [login to view URL] to connect the two it bumps you back to your home page. Also same on the twitter side. Even though you go through the motions on Twitter and the accounts connect, the posts do not go across. Again, I believe that the problem is there are no admins connected to the pages. I'm I explaining this correctly to you. Does it make sense? We would like our business pages to be connected to the twitter pages, but without a personal Facebook page or admin. We don't have Facebook accounts and don't want them. But having a listing on Facebook for the business has become a necessity. Can this be done? Can you do it for us and share what you did and how you got it to work? Let me know. PLEASE MAKE SURE THAT YOU UNDERSTAND THE PROBLEM BEFORE YOU RESPOND. I know that the integration for personal pages and pages with admins are easy. Its the pages that are just business pages that are tricky. SO PLEASE MAKE SURE YOU UNDERSTAND THIS. Thanks!