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Finding the Third Proportional to 57,984,960 and 81,109,617

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Solution

The third proportional to 57,984,960 and 81,109,617 is: 113,456,488.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,984,960 : 81,109,617 = 81,109,617 : x
  2. Step 2: Convert to fraction form
    57,984,960/81,109,617 = 81,109,617/x
  3. Step 3: Cross multiply
    57,984,960x = 81,109,617 × 81,109,617
  4. Step 4: Simplify right side
    57,984,960x = 6,578,769,969,886,689
  5. Step 5: Solve for x
    x = 6,578,769,969,886,689/57,984,960
  6. Step 6: Final answer
    x = 113,456,488.89

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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.