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Finding the Third Proportional to 19,782,873 and 41,691,186

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Solution

The third proportional to 19,782,873 and 41,691,186 is: 87,861,605.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782,873 : 41,691,186 = 41,691,186 : x
  2. Step 2: Convert to fraction form
    19,782,873/41,691,186 = 41,691,186/x
  3. Step 3: Cross multiply
    19,782,873x = 41,691,186 × 41,691,186
  4. Step 4: Simplify right side
    19,782,873x = 1,738,154,990,086,596
  5. Step 5: Solve for x
    x = 1,738,154,990,086,596/19,782,873
  6. Step 6: Final answer
    x = 87,861,605.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.