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Finding the Third Proportional to 37,808,100 and 80,996,274

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Solution

The third proportional to 37,808,100 and 80,996,274 is: 173,518,277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,808,100 : 80,996,274 = 80,996,274 : x
  2. Step 2: Convert to fraction form
    37,808,100/80,996,274 = 80,996,274/x
  3. Step 3: Cross multiply
    37,808,100x = 80,996,274 × 80,996,274
  4. Step 4: Simplify right side
    37,808,100x = 6,560,396,401,883,076
  5. Step 5: Solve for x
    x = 6,560,396,401,883,076/37,808,100
  6. Step 6: Final answer
    x = 173,518,277.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.