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Finding the Third Proportional to 269,629,332 and 580,910,486

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Solution

The third proportional to 269,629,332 and 580,910,486 is: 1,251,558,909.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,629,332 : 580,910,486 = 580,910,486 : x
  2. Step 2: Convert to fraction form
    269,629,332/580,910,486 = 580,910,486/x
  3. Step 3: Cross multiply
    269,629,332x = 580,910,486 × 580,910,486
  4. Step 4: Simplify right side
    269,629,332x = 337,456,992,744,756,224
  5. Step 5: Solve for x
    x = 337,456,992,744,756,224/269,629,332
  6. Step 6: Final answer
    x = 1,251,558,909.57

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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.