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Finding the Third Proportional to 39,462,218,469 and 81,016,448,976

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Solution

The third proportional to 39,462,218,469 and 81,016,448,976 is: 166,327,825,939.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,462,218,469 : 81,016,448,976 = 81,016,448,976 : x
  2. Step 2: Convert to fraction form
    39,462,218,469/81,016,448,976 = 81,016,448,976/x
  3. Step 3: Cross multiply
    39,462,218,469x = 81,016,448,976 × 81,016,448,976
  4. Step 4: Simplify right side
    39,462,218,469x = 6,563,665,004,680,811,905,024
  5. Step 5: Solve for x
    x = 6,563,665,004,680,811,905,024/39,462,218,469
  6. Step 6: Final answer
    x = 166,327,825,939.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.