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Finding the Third Proportional to 57,984,914 and 81,109,541

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Solution

The third proportional to 57,984,914 and 81,109,541 is: 113,456,366.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,984,914 : 81,109,541 = 81,109,541 : x
  2. Step 2: Convert to fraction form
    57,984,914/81,109,541 = 81,109,541/x
  3. Step 3: Cross multiply
    57,984,914x = 81,109,541 × 81,109,541
  4. Step 4: Simplify right side
    57,984,914x = 6,578,757,641,230,681
  5. Step 5: Solve for x
    x = 6,578,757,641,230,681/57,984,914
  6. Step 6: Final answer
    x = 113,456,366.28

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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.