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Finding the Third Proportional to 40,769,864 and 86,261,956

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Solution

The third proportional to 40,769,864 and 86,261,956 is: 182,515,326.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,769,864 : 86,261,956 = 86,261,956 : x
  2. Step 2: Convert to fraction form
    40,769,864/86,261,956 = 86,261,956/x
  3. Step 3: Cross multiply
    40,769,864x = 86,261,956 × 86,261,956
  4. Step 4: Simplify right side
    40,769,864x = 7,441,125,052,945,936
  5. Step 5: Solve for x
    x = 7,441,125,052,945,936/40,769,864
  6. Step 6: Final answer
    x = 182,515,326.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.