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Finding the Third Proportional to 37,675,114 and 81,373,172

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Solution

The third proportional to 37,675,114 and 81,373,172 is: 175,755,091.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,675,114 : 81,373,172 = 81,373,172 : x
  2. Step 2: Convert to fraction form
    37,675,114/81,373,172 = 81,373,172/x
  3. Step 3: Cross multiply
    37,675,114x = 81,373,172 × 81,373,172
  4. Step 4: Simplify right side
    37,675,114x = 6,621,593,121,341,584
  5. Step 5: Solve for x
    x = 6,621,593,121,341,584/37,675,114
  6. Step 6: Final answer
    x = 175,755,091.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.