Finding the Third Proportional to 99,607,624,901 and 215,087,264,962
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Solution
The third proportional to 99,607,624,901 and 215,087,264,962 is: 464,447,692,581.91
Step by Step Solution
- Step 1: Write the proportion equation
99,607,624,901 : 215,087,264,962 = 215,087,264,962 : x - Step 2: Convert to fraction form
99,607,624,901/215,087,264,962 = 215,087,264,962/x - Step 3: Cross multiply
99,607,624,901x = 215,087,264,962 × 215,087,264,962 - Step 4: Simplify right side
99,607,624,901x = 46,262,531,548,833,590,018,048 - Step 5: Solve for x
x = 46,262,531,548,833,590,018,048/99,607,624,901 - Step 6: Final answer
x = 464,447,692,581.91
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.