The Talmud says:
כל ישראל ערבים זה בזה – All Jews are responsible for one another. [Shevuot 39a, Sanh. 27b]
In order to help other Jews, we must first find out where they are. It is likely that the vast majority of halachic Jews today have no idea they are Jewish. A single Jewish woman who was forced to convert out a thousand years ago could have thousands of matrilineal descendents today, all halachically Jewish, all ignorant of that fact.
Do we have an obligation to conduct genealogical research to find out who is Jewish, inform them of the fact and instruct them? If not, why not? Isn't it a logical implication of the Talmudic phrase?