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Finding the Third Proportional to 316,500,624 and 667,008,288

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Solution

The third proportional to 316,500,624 and 667,008,288 is: 1,405,684,610.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,500,624 : 667,008,288 = 667,008,288 : x
  2. Step 2: Convert to fraction form
    316,500,624/667,008,288 = 667,008,288/x
  3. Step 3: Cross multiply
    316,500,624x = 667,008,288 × 667,008,288
  4. Step 4: Simplify right side
    316,500,624x = 444,900,056,260,690,944
  5. Step 5: Solve for x
    x = 444,900,056,260,690,944/316,500,624
  6. Step 6: Final answer
    x = 1,405,684,610.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.