Finding the Third Proportional to 7,645,250,799,904 and 16,380,992,223,656
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Solution
The third proportional to 7,645,250,799,904 and 16,380,992,223,656 is: 35,098,509,290,872.16
Step by Step Solution
- Step 1: Write the proportion equation
7,645,250,799,904 : 16,380,992,223,656 = 16,380,992,223,656 : x - Step 2: Convert to fraction form
7,645,250,799,904/16,380,992,223,656 = 16,380,992,223,656/x - Step 3: Cross multiply
7,645,250,799,904x = 16,380,992,223,656 × 16,380,992,223,656 - Step 4: Simplify right side
7,645,250,799,904x = 268,336,906,231,478,331,228,815,360 - Step 5: Solve for x
x = 268,336,906,231,478,331,228,815,360/7,645,250,799,904 - Step 6: Final answer
x = 35,098,509,290,872.16
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.