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Finding the Third Proportional to 9,660,612.13 and 20,834,542.83

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Solution

The third proportional to 9,660,612.13 and 20,834,542.83 is: 44,932,781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660,612.13 : 20,834,542.83 = 20,834,542.83 : x
  2. Step 2: Convert to fraction form
    9,660,612.13/20,834,542.83 = 20,834,542.83/x
  3. Step 3: Cross multiply
    9,660,612.13x = 20,834,542.83 × 20,834,542.83
  4. Step 4: Simplify right side
    9,660,612.13x = 434,078,174,856,933.25
  5. Step 5: Solve for x
    x = 434,078,174,856,933.25/9,660,612.13
  6. Step 6: Final answer
    x = 44,932,781.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.