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Finding the Third Proportional to 37,156,624 and 77,701,180

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Solution

The third proportional to 37,156,624 and 77,701,180 is: 162,487,134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,156,624 : 77,701,180 = 77,701,180 : x
  2. Step 2: Convert to fraction form
    37,156,624/77,701,180 = 77,701,180/x
  3. Step 3: Cross multiply
    37,156,624x = 77,701,180 × 77,701,180
  4. Step 4: Simplify right side
    37,156,624x = 6,037,473,373,392,400
  5. Step 5: Solve for x
    x = 6,037,473,373,392,400/37,156,624
  6. Step 6: Final answer
    x = 162,487,134.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.