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Finding the Third Proportional to 49,947,199,384 and 71,791,656,972

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Solution

The third proportional to 49,947,199,384 and 71,791,656,972 is: 103,189,809,926.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,947,199,384 : 71,791,656,972 = 71,791,656,972 : x
  2. Step 2: Convert to fraction form
    49,947,199,384/71,791,656,972 = 71,791,656,972/x
  3. Step 3: Cross multiply
    49,947,199,384x = 71,791,656,972 × 71,791,656,972
  4. Step 4: Simplify right side
    49,947,199,384x = 5,154,042,010,785,316,601,856
  5. Step 5: Solve for x
    x = 5,154,042,010,785,316,601,856/49,947,199,384
  6. Step 6: Final answer
    x = 103,189,809,926.29

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.