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Finding the Third Proportional to 57,984,964 and 81,109,623

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Solution

The third proportional to 57,984,964 and 81,109,623 is: 113,456,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,984,964 : 81,109,623 = 81,109,623 : x
  2. Step 2: Convert to fraction form
    57,984,964/81,109,623 = 81,109,623/x
  3. Step 3: Cross multiply
    57,984,964x = 81,109,623 × 81,109,623
  4. Step 4: Simplify right side
    57,984,964x = 6,578,770,943,202,129
  5. Step 5: Solve for x
    x = 6,578,770,943,202,129/57,984,964
  6. Step 6: Final answer
    x = 113,456,497.85

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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.