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Finding the Third Proportional to 37,011,166 and 80,193,960

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Solution

The third proportional to 37,011,166 and 80,193,960 is: 173,760,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,011,166 : 80,193,960 = 80,193,960 : x
  2. Step 2: Convert to fraction form
    37,011,166/80,193,960 = 80,193,960/x
  3. Step 3: Cross multiply
    37,011,166x = 80,193,960 × 80,193,960
  4. Step 4: Simplify right side
    37,011,166x = 6,431,071,220,481,600
  5. Step 5: Solve for x
    x = 6,431,071,220,481,600/37,011,166
  6. Step 6: Final answer
    x = 173,760,297.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.