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Finding the Third Proportional to 7,241,881 and 15,729,327

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Solution

The third proportional to 7,241,881 and 15,729,327 is: 34,164,014.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241,881 : 15,729,327 = 15,729,327 : x
  2. Step 2: Convert to fraction form
    7,241,881/15,729,327 = 15,729,327/x
  3. Step 3: Cross multiply
    7,241,881x = 15,729,327 × 15,729,327
  4. Step 4: Simplify right side
    7,241,881x = 247,411,727,872,929
  5. Step 5: Solve for x
    x = 247,411,727,872,929/7,241,881
  6. Step 6: Final answer
    x = 34,164,014.55

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Why These Related Problems?

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