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Finding the Third Proportional to 57,984,966 and 81,109,625

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Solution

The third proportional to 57,984,966 and 81,109,625 is: 113,456,499.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,984,966 : 81,109,625 = 81,109,625 : x
  2. Step 2: Convert to fraction form
    57,984,966/81,109,625 = 81,109,625/x
  3. Step 3: Cross multiply
    57,984,966x = 81,109,625 × 81,109,625
  4. Step 4: Simplify right side
    57,984,966x = 6,578,771,267,640,625
  5. Step 5: Solve for x
    x = 6,578,771,267,640,625/57,984,966
  6. Step 6: Final answer
    x = 113,456,499.53

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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.