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Finding the Third Proportional to 57,984,990.75 and 81,109,667.25

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Solution

The third proportional to 57,984,990.75 and 81,109,667.25 is: 113,456,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,984,990.75 : 81,109,667.25 = 81,109,667.25 : x
  2. Step 2: Convert to fraction form
    57,984,990.75/81,109,667.25 = 81,109,667.25/x
  3. Step 3: Cross multiply
    57,984,990.75x = 81,109,667.25 × 81,109,667.25
  4. Step 4: Simplify right side
    57,984,990.75x = 6,578,778,121,405,723
  5. Step 5: Solve for x
    x = 6,578,778,121,405,723/57,984,990.75
  6. Step 6: Final answer
    x = 113,456,569.30

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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.