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Finding the Third Proportional to 57,984,965 and 81,109,624

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Solution

The third proportional to 57,984,965 and 81,109,624 is: 113,456,498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,984,965 : 81,109,624 = 81,109,624 : x
  2. Step 2: Convert to fraction form
    57,984,965/81,109,624 = 81,109,624/x
  3. Step 3: Cross multiply
    57,984,965x = 81,109,624 × 81,109,624
  4. Step 4: Simplify right side
    57,984,965x = 6,578,771,105,421,376
  5. Step 5: Solve for x
    x = 6,578,771,105,421,376/57,984,965
  6. Step 6: Final answer
    x = 113,456,498.69

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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.