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Finding the Third Proportional to 17,974,876 and 38,469,176

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Solution

The third proportional to 17,974,876 and 38,469,176 is: 82,330,331.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,974,876 : 38,469,176 = 38,469,176 : x
  2. Step 2: Convert to fraction form
    17,974,876/38,469,176 = 38,469,176/x
  3. Step 3: Cross multiply
    17,974,876x = 38,469,176 × 38,469,176
  4. Step 4: Simplify right side
    17,974,876x = 1,479,877,502,118,976
  5. Step 5: Solve for x
    x = 1,479,877,502,118,976/17,974,876
  6. Step 6: Final answer
    x = 82,330,331.63

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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.