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Finding the Third Proportional to 339,709,813,446 and 527,464,247,184

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Solution

The third proportional to 339,709,813,446 and 527,464,247,184 is: 818,988,798,807.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,709,813,446 : 527,464,247,184 = 527,464,247,184 : x
  2. Step 2: Convert to fraction form
    339,709,813,446/527,464,247,184 = 527,464,247,184/x
  3. Step 3: Cross multiply
    339,709,813,446x = 527,464,247,184 × 527,464,247,184
  4. Step 4: Simplify right side
    339,709,813,446x = 278,218,532,057,383,859,912,704
  5. Step 5: Solve for x
    x = 278,218,532,057,383,859,912,704/339,709,813,446
  6. Step 6: Final answer
    x = 818,988,798,807.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.