As soon as the comptroller of the treasury has received the valuation from the board of equalization, the comptroller of the treasury shall certify to the trustee and county assessor of property of each county in which any of such property lies, the amount to be taxed in such counties, respectively, for county purposes; and likewise to the city recorder and/or city official whose responsibility it is to collect the tax of any incorporated city or town the amount to be taxed by such city or town.