Paying the $27,000.00 in interest will not transfer the ownership interest to you from your co-owners.
You say that the title was transferred to you and your two siblings (one of whom died (so his estate would have an interest in that 1/3 and it would be distributed according to his estate (will, trust, or intestate succession)).
If the money is not paid, the bank can foreclose on the property, and it will be sold, however, whether or not you are successful in bidding on the property, whether or not you and your co-owners receive any surplus from the sale price (depending on the value of the property, it may sell for greater than the cost of the current lien plus the cost of sale)
However, if you want to pay the interest, but come to an agreement with your co-owners on repayment for your money paid (both in the past and for this expense) under what is called a "property ownership agreement" that would probably be a prudent course of action - if you cannot reach a reasonable agreement between the three of you (you, your sibling, and your deceased sibling's estate), you may want to look into utilizing a mediator to help you come up with a "mutually agreeable resolution" (a mediator acts as a third party neutral to help parties resolve a dispute - they do not represent any of the parties individually, but usually this will be an attorney and can help you draft a workable property ownership agreement).
You may find that your co-owners are not interested in the property and are willing to relinquish their property ownership to you, but this does not happen automatically, and you cannot force them to do so (again, paying the debt does not give you sole title to the property).