The report that the State of FL puts out tracks vaccinated residents only. The CDC seems to track based on where the dose was administered. The official report shows 11,757,156 residents with at least one shot, 10,046,576 series complete and 61% of eligible residents (12+) with at least one shot. The CDC shows 12,449,521 with at least one shot, 10,518,519 fully vaccinated and 66.5% of eligible (12+) fully vaccinated.
The official report doesn't count the last two days. The CDC numbers are higher than reality but not nearly to the level that you suggest. Those other states are much more rural than FL and none have multiple densely populated major metropolitan areas (maybe St. Louis and Kansas City but not to the extent that FL has these types of areas).