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Finding the Third Proportional to 57,984,961 and 81,109,618.50

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Solution

The third proportional to 57,984,961 and 81,109,618.50 is: 113,456,491.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,984,961 : 81,109,618.50 = 81,109,618.50 : x
  2. Step 2: Convert to fraction form
    57,984,961/81,109,618.50 = 81,109,618.50/x
  3. Step 3: Cross multiply
    57,984,961x = 81,109,618.50 × 81,109,618.50
  4. Step 4: Simplify right side
    57,984,961x = 6,578,770,213,215,542
  5. Step 5: Solve for x
    x = 6,578,770,213,215,542/57,984,961
  6. Step 6: Final answer
    x = 113,456,491.13

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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.