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Finding the Third Proportional to 37,675,126 and 81,373,196

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Solution

The third proportional to 37,675,126 and 81,373,196 is: 175,755,139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,675,126 : 81,373,196 = 81,373,196 : x
  2. Step 2: Convert to fraction form
    37,675,126/81,373,196 = 81,373,196/x
  3. Step 3: Cross multiply
    37,675,126x = 81,373,196 × 81,373,196
  4. Step 4: Simplify right side
    37,675,126x = 6,621,597,027,254,416
  5. Step 5: Solve for x
    x = 6,621,597,027,254,416/37,675,126
  6. Step 6: Final answer
    x = 175,755,139.54

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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.