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Finding the Third Proportional to 9,442,720 and 20,231,744

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Solution

The third proportional to 9,442,720 and 20,231,744 is: 43,348,046.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442,720 : 20,231,744 = 20,231,744 : x
  2. Step 2: Convert to fraction form
    9,442,720/20,231,744 = 20,231,744/x
  3. Step 3: Cross multiply
    9,442,720x = 20,231,744 × 20,231,744
  4. Step 4: Simplify right side
    9,442,720x = 409,323,465,281,536
  5. Step 5: Solve for x
    x = 409,323,465,281,536/9,442,720
  6. Step 6: Final answer
    x = 43,348,046.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.