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Finding the Third Proportional to 77,039,057,373 and 156,244,277,874

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Solution

The third proportional to 77,039,057,373 and 156,244,277,874 is: 316,881,789,585.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,039,057,373 : 156,244,277,874 = 156,244,277,874 : x
  2. Step 2: Convert to fraction form
    77,039,057,373/156,244,277,874 = 156,244,277,874/x
  3. Step 3: Cross multiply
    77,039,057,373x = 156,244,277,874 × 156,244,277,874
  4. Step 4: Simplify right side
    77,039,057,373x = 24,412,274,368,367,724,331,008
  5. Step 5: Solve for x
    x = 24,412,274,368,367,724,331,008/77,039,057,373
  6. Step 6: Final answer
    x = 316,881,789,585.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.