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Finding the Third Proportional to 39,999,171,104.56 and 57,791,894,872.69

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Solution

The third proportional to 39,999,171,104.56 and 57,791,894,872.69 is: 83,499,308,129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,999,171,104.56 : 57,791,894,872.69 = 57,791,894,872.69 : x
  2. Step 2: Convert to fraction form
    39,999,171,104.56/57,791,894,872.69 = 57,791,894,872.69/x
  3. Step 3: Cross multiply
    39,999,171,104.56x = 57,791,894,872.69 × 57,791,894,872.69
  4. Step 4: Simplify right side
    39,999,171,104.56x = 3,339,903,112,976,052,781,056
  5. Step 5: Solve for x
    x = 3,339,903,112,976,052,781,056/39,999,171,104.56
  6. Step 6: Final answer
    x = 83,499,308,129.29

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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.