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Finding the Third Proportional to 3,743,543.25 and 7,664,517

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Solution

The third proportional to 3,743,543.25 and 7,664,517 is: 15,692,304.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743,543.25 : 7,664,517 = 7,664,517 : x
  2. Step 2: Convert to fraction form
    3,743,543.25/7,664,517 = 7,664,517/x
  3. Step 3: Cross multiply
    3,743,543.25x = 7,664,517 × 7,664,517
  4. Step 4: Simplify right side
    3,743,543.25x = 58,744,820,843,289
  5. Step 5: Solve for x
    x = 58,744,820,843,289/3,743,543.25
  6. Step 6: Final answer
    x = 15,692,304.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.