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Finding the Third Proportional to 52,769,984 and 80,724,327

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Solution

The third proportional to 52,769,984 and 80,724,327 is: 123,487,188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,769,984 : 80,724,327 = 80,724,327 : x
  2. Step 2: Convert to fraction form
    52,769,984/80,724,327 = 80,724,327/x
  3. Step 3: Cross multiply
    52,769,984x = 80,724,327 × 80,724,327
  4. Step 4: Simplify right side
    52,769,984x = 6,516,416,969,602,929
  5. Step 5: Solve for x
    x = 6,516,416,969,602,929/52,769,984
  6. Step 6: Final answer
    x = 123,487,188.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.