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Finding the Third Proportional to 19,438,792.31 and 41,762,348.44

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Solution

The third proportional to 19,438,792.31 and 41,762,348.44 is: 89,722,330.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,438,792.31 : 41,762,348.44 = 41,762,348.44 : x
  2. Step 2: Convert to fraction form
    19,438,792.31/41,762,348.44 = 41,762,348.44/x
  3. Step 3: Cross multiply
    19,438,792.31x = 41,762,348.44 × 41,762,348.44
  4. Step 4: Simplify right side
    19,438,792.31x = 1,744,093,747,015,158.75
  5. Step 5: Solve for x
    x = 1,744,093,747,015,158.75/19,438,792.31
  6. Step 6: Final answer
    x = 89,722,330.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.