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Finding the Third Proportional to 5,229,709.31 and 11,328,022.13

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Solution

The third proportional to 5,229,709.31 and 11,328,022.13 is: 24,537,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229,709.31 : 11,328,022.13 = 11,328,022.13 : x
  2. Step 2: Convert to fraction form
    5,229,709.31/11,328,022.13 = 11,328,022.13/x
  3. Step 3: Cross multiply
    5,229,709.31x = 11,328,022.13 × 11,328,022.13
  4. Step 4: Simplify right side
    5,229,709.31x = 128,324,085,264,489.52
  5. Step 5: Solve for x
    x = 128,324,085,264,489.52/5,229,709.31
  6. Step 6: Final answer
    x = 24,537,517.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.