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Finding the Third Proportional to 20,207,424.38 and 31,663,021.50

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Solution

The third proportional to 20,207,424.38 and 31,663,021.50 is: 49,612,801.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,207,424.38 : 31,663,021.50 = 31,663,021.50 : x
  2. Step 2: Convert to fraction form
    20,207,424.38/31,663,021.50 = 31,663,021.50/x
  3. Step 3: Cross multiply
    20,207,424.38x = 31,663,021.50 × 31,663,021.50
  4. Step 4: Simplify right side
    20,207,424.38x = 1,002,546,930,509,462.25
  5. Step 5: Solve for x
    x = 1,002,546,930,509,462.25/20,207,424.38
  6. Step 6: Final answer
    x = 49,612,801.31

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.