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Finding the Third Proportional to 51,664,807,908 and 71,835,785,727.75

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Solution

The third proportional to 51,664,807,908 and 71,835,785,727.75 is: 99,881,918,080.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,664,807,908 : 71,835,785,727.75 = 71,835,785,727.75 : x
  2. Step 2: Convert to fraction form
    51,664,807,908/71,835,785,727.75 = 71,835,785,727.75/x
  3. Step 3: Cross multiply
    51,664,807,908x = 71,835,785,727.75 × 71,835,785,727.75
  4. Step 4: Simplify right side
    51,664,807,908x = 5,160,380,111,123,210,305,536
  5. Step 5: Solve for x
    x = 5,160,380,111,123,210,305,536/51,664,807,908
  6. Step 6: Final answer
    x = 99,881,918,080.72

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.