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Finding the Third Proportional to 81,719,167,736 and 115,028,449,599

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Solution

The third proportional to 81,719,167,736 and 115,028,449,599 is: 161,914,818,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,719,167,736 : 115,028,449,599 = 115,028,449,599 : x
  2. Step 2: Convert to fraction form
    81,719,167,736/115,028,449,599 = 115,028,449,599/x
  3. Step 3: Cross multiply
    81,719,167,736x = 115,028,449,599 × 115,028,449,599
  4. Step 4: Simplify right side
    81,719,167,736x = 13,231,544,217,149,682,745,344
  5. Step 5: Solve for x
    x = 13,231,544,217,149,682,745,344/81,719,167,736
  6. Step 6: Final answer
    x = 161,914,818,563.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.