Many years ago, a company built an Olympic Sized Pool on the 5th floor of their new building.
Alas, they forgot to calculate the weight of the water and were never able to use it.
Don't forget how much waste 70,000 animals produce & the task of keeping the animals from killing each other.
Science has also discovered most every kind of animal is able to hibernate in times of extreme stress.
Furthermore, the ark dimensions have been calculated at approx 350 rail cars or 20 pairs per car per your extremely high estimate of 70,000 pairs.
Last, taking smaller juvenile animals rather than fully grown adults would also help alleaviate for floor space, food, water and weight requirements.
Experts built the Titanic too and we some of us know all too well what often happens with experts. Pride goes before the fall.
I just hope they weren't civil engineers or architects...