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Finding the Third Proportional to 10,834,446 and 22,508,694

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Solution

The third proportional to 10,834,446 and 22,508,694 is: 46,762,086.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834,446 : 22,508,694 = 22,508,694 : x
  2. Step 2: Convert to fraction form
    10,834,446/22,508,694 = 22,508,694/x
  3. Step 3: Cross multiply
    10,834,446x = 22,508,694 × 22,508,694
  4. Step 4: Simplify right side
    10,834,446x = 506,641,305,585,636
  5. Step 5: Solve for x
    x = 506,641,305,585,636/10,834,446
  6. Step 6: Final answer
    x = 46,762,086.92

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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.