Lamentation said it all really, but I’d like to add my two cents.
The vows and rite of consecration are not just words, they are usually in the middle of the liturgy of the word and liturgy of the eucharist. It is within this particular setting, outside of time and space, that the vow is not only made before the superior, but before the holy cross of Christ himself. Therefore, the vow is made to the representative to the Church, but it is binding in heaven as well. As long as the superior stands as representative for the Church, it means that you have made the vow to Christ himself.
The rite of consecration is meant to bring out the mystery of the vows you profess. Just like the marital rite is meant to draw the couple deeper into the relationship they now profess to Christ, a vow that is sacred and cannot be unbroken, the rite of consecration is meant to do the same. The vows themselves are not are binding unto the state of life you live. As a married man, vows of poverty, chastity and obedience basically means poverty in spirit and submitting myself to the family entity, chastity in my relationship to my wife, do not confuse this to celibacy, and obedience which is to my wife, my rule, my spiritual director, my ordinary and the Magisterium.
If you want to learn more of how you live the vows in married life you can read
cscolumcille.org/2017/07/08/the-evangelical-counsels-in-marriage/
For those who are single, the vow of chastity does not mean a vow of celibacy. It just means that you will be chaste in the relations you have with other people. When a monk or nun makes a vow of obedience they are obedient to the rule and if their rule says they are to be celibate, then they must be so.