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Finding the Third Proportional to 49,942,569,233 and 72,158,388,016

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Solution

The third proportional to 49,942,569,233 and 72,158,388,016 is: 104,256,409,732.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,942,569,233 : 72,158,388,016 = 72,158,388,016 : x
  2. Step 2: Convert to fraction form
    49,942,569,233/72,158,388,016 = 72,158,388,016/x
  3. Step 3: Cross multiply
    49,942,569,233x = 72,158,388,016 × 72,158,388,016
  4. Step 4: Simplify right side
    49,942,569,233x = 5,206,832,961,067,612,635,136
  5. Step 5: Solve for x
    x = 5,206,832,961,067,612,635,136/49,942,569,233
  6. Step 6: Final answer
    x = 104,256,409,732.87

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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.