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Finding the Third Proportional to 364,815,291,306 and 784,534,029,468

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Solution

The third proportional to 364,815,291,306 and 784,534,029,468 is: 1,687,137,732,604.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,815,291,306 : 784,534,029,468 = 784,534,029,468 : x
  2. Step 2: Convert to fraction form
    364,815,291,306/784,534,029,468 = 784,534,029,468/x
  3. Step 3: Cross multiply
    364,815,291,306x = 784,534,029,468 × 784,534,029,468
  4. Step 4: Simplify right side
    364,815,291,306x = 615,493,643,393,296,655,974,400
  5. Step 5: Solve for x
    x = 615,493,643,393,296,655,974,400/364,815,291,306
  6. Step 6: Final answer
    x = 1,687,137,732,604.07

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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.