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Finding the Third Proportional to 37,156,624 and 77,701,182

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Solution

The third proportional to 37,156,624 and 77,701,182 is: 162,487,143.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,156,624 : 77,701,182 = 77,701,182 : x
  2. Step 2: Convert to fraction form
    37,156,624/77,701,182 = 77,701,182/x
  3. Step 3: Cross multiply
    37,156,624x = 77,701,182 × 77,701,182
  4. Step 4: Simplify right side
    37,156,624x = 6,037,473,684,197,124
  5. Step 5: Solve for x
    x = 6,037,473,684,197,124/37,156,624
  6. Step 6: Final answer
    x = 162,487,143.19

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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.