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Finding the Third Proportional to 364,815,291,129 and 784,534,029,105

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Solution

The third proportional to 364,815,291,129 and 784,534,029,105 is: 1,687,137,731,861.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,815,291,129 : 784,534,029,105 = 784,534,029,105 : x
  2. Step 2: Convert to fraction form
    364,815,291,129/784,534,029,105 = 784,534,029,105/x
  3. Step 3: Cross multiply
    364,815,291,129x = 784,534,029,105 × 784,534,029,105
  4. Step 4: Simplify right side
    364,815,291,129x = 615,493,642,823,724,936,724,480
  5. Step 5: Solve for x
    x = 615,493,642,823,724,936,724,480/364,815,291,129
  6. Step 6: Final answer
    x = 1,687,137,731,861.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.