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Finding the Third Proportional to 81,632,046 and 177,612,027

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Solution

The third proportional to 81,632,046 and 177,612,027 is: 386,441,767.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,632,046 : 177,612,027 = 177,612,027 : x
  2. Step 2: Convert to fraction form
    81,632,046/177,612,027 = 177,612,027/x
  3. Step 3: Cross multiply
    81,632,046x = 177,612,027 × 177,612,027
  4. Step 4: Simplify right side
    81,632,046x = 31,546,032,135,048,728
  5. Step 5: Solve for x
    x = 31,546,032,135,048,728/81,632,046
  6. Step 6: Final answer
    x = 386,441,767.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.