Final answer:
A baby-to-be that has implanted itself in the mother's uterus after traveling down the fallopian tubes is termed a blastocyst. This stage precedes the embryonic stage which begins after implantation.
Step-by-step explanation:
The word typically used for a baby-to-be at the stage where it has traveled down the fallopian tubes and implanted itself in the mother's uterus is blastocyst. Immediately following fertilization, the zygote travels down the fallopian tube and undergoes multiple cell divisions, first evolving into a morula and eventually forming a blastocyst within the uterus, where it begins the process of implantation. It is only after implantation that the inner cell mass of the blastocyst is known as the embryo, which then grows and develops into a fetus.