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Finding the Third Proportional to 24,243,472.13 and 53,867,814.75

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Solution

The third proportional to 24,243,472.13 and 53,867,814.75 is: 119,691,661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,243,472.13 : 53,867,814.75 = 53,867,814.75 : x
  2. Step 2: Convert to fraction form
    24,243,472.13/53,867,814.75 = 53,867,814.75/x
  3. Step 3: Cross multiply
    24,243,472.13x = 53,867,814.75 × 53,867,814.75
  4. Step 4: Simplify right side
    24,243,472.13x = 2,901,741,465,940,317.50
  5. Step 5: Solve for x
    x = 2,901,741,465,940,317.50/24,243,472.13
  6. Step 6: Final answer
    x = 119,691,661.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.