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Finding the Third Proportional to 307,856,160 and 641,186,496

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Solution

The third proportional to 307,856,160 and 641,186,496 is: 1,335,429,255.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,856,160 : 641,186,496 = 641,186,496 : x
  2. Step 2: Convert to fraction form
    307,856,160/641,186,496 = 641,186,496/x
  3. Step 3: Cross multiply
    307,856,160x = 641,186,496 × 641,186,496
  4. Step 4: Simplify right side
    307,856,160x = 411,120,122,652,758,016
  5. Step 5: Solve for x
    x = 411,120,122,652,758,016/307,856,160
  6. Step 6: Final answer
    x = 1,335,429,255.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.