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Finding the Third Proportional to 676,218,213.75 and 1,034,437,657.13

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Solution

The third proportional to 676,218,213.75 and 1,034,437,657.13 is: 1,582,420,060.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,218,213.75 : 1,034,437,657.13 = 1,034,437,657.13 : x
  2. Step 2: Convert to fraction form
    676,218,213.75/1,034,437,657.13 = 1,034,437,657.13/x
  3. Step 3: Cross multiply
    676,218,213.75x = 1,034,437,657.13 × 1,034,437,657.13
  4. Step 4: Simplify right side
    676,218,213.75x = 1,070,061,266,478,259,072
  5. Step 5: Solve for x
    x = 1,070,061,266,478,259,072/676,218,213.75
  6. Step 6: Final answer
    x = 1,582,420,060.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.