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Finding the Third Proportional to 51,664,807,908.85 and 71,835,785,728.88

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Solution

The third proportional to 51,664,807,908.85 and 71,835,785,728.88 is: 99,881,918,082.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,664,807,908.85 : 71,835,785,728.88 = 71,835,785,728.88 : x
  2. Step 2: Convert to fraction form
    51,664,807,908.85/71,835,785,728.88 = 71,835,785,728.88/x
  3. Step 3: Cross multiply
    51,664,807,908.85x = 71,835,785,728.88 × 71,835,785,728.88
  4. Step 4: Simplify right side
    51,664,807,908.85x = 5,160,380,111,284,840,955,904
  5. Step 5: Solve for x
    x = 5,160,380,111,284,840,955,904/51,664,807,908.85
  6. Step 6: Final answer
    x = 99,881,918,082.22

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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.