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Finding the Third Proportional to 16,425,767.25 and 38,024,589.38

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Solution

The third proportional to 16,425,767.25 and 38,024,589.38 is: 88,024,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,425,767.25 : 38,024,589.38 = 38,024,589.38 : x
  2. Step 2: Convert to fraction form
    16,425,767.25/38,024,589.38 = 38,024,589.38/x
  3. Step 3: Cross multiply
    16,425,767.25x = 38,024,589.38 × 38,024,589.38
  4. Step 4: Simplify right side
    16,425,767.25x = 1,445,869,397,137,363
  5. Step 5: Solve for x
    x = 1,445,869,397,137,363/16,425,767.25
  6. Step 6: Final answer
    x = 88,024,466.38

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.