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Finding the Third Proportional to 57,984,992 and 81,109,667.75

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Solution

The third proportional to 57,984,992 and 81,109,667.75 is: 113,456,568.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,984,992 : 81,109,667.75 = 81,109,667.75 : x
  2. Step 2: Convert to fraction form
    57,984,992/81,109,667.75 = 81,109,667.75/x
  3. Step 3: Cross multiply
    57,984,992x = 81,109,667.75 × 81,109,667.75
  4. Step 4: Simplify right side
    57,984,992x = 6,578,778,202,515,390
  5. Step 5: Solve for x
    x = 6,578,778,202,515,390/57,984,992
  6. Step 6: Final answer
    x = 113,456,568.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.