Crate training a dog that will grow rapidly?

I have always had small to medium size dogs but I have been approached about taking a full blooded Great Dane from an unexpected liter. I have the room and have no issue with feedings, attention, training, etc. But my question is that I would like to crate train the dog so I can have her inside as well as outside. Can I start out with the largest crate or do I need to work my way up in sizes? Any suggestions on this or on any advice from anyone who has raised Great Danes? Thanks in advance.

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