A new and useful method of simultaneously producing and granulating composite materials for simultaneous internal delivery of high amounts of calcium and phosphate to a subject (person or animal) is provided. Such a method entails the dropwise addition of concentrated phosphoric acid within a specified amount of water into a vessel containing a powdered material of lime and/or calcium carbonate, with the lime and/or calcium carbonate present in an excessive amount of the phosphoric acid, with subsequent, mixing, drying, milling, and sieving to provide the correct target particle size range for the resultant granulated materials. Such specifically produced granulated calcium carbonate/dicalcium phosphate materials exhibit very high available calcium levels, very high available phosphate levels, excellent flow characteristics, and very high capability for compression into tablets. Products including such particularly produced composite materials are also encompassed within this invention.