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Finding the Third Proportional to 364,815,291,106 and 784,534,029,060

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Solution

The third proportional to 364,815,291,106 and 784,534,029,060 is: 1,687,137,731,774.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,815,291,106 : 784,534,029,060 = 784,534,029,060 : x
  2. Step 2: Convert to fraction form
    364,815,291,106/784,534,029,060 = 784,534,029,060/x
  3. Step 3: Cross multiply
    364,815,291,106x = 784,534,029,060 × 784,534,029,060
  4. Step 4: Simplify right side
    364,815,291,106x = 615,493,642,753,116,882,337,792
  5. Step 5: Solve for x
    x = 615,493,642,753,116,882,337,792/364,815,291,106
  6. Step 6: Final answer
    x = 1,687,137,731,774.19

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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.