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Finding the Third Proportional to 16,738,771 and 35,486,234

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Solution

The third proportional to 16,738,771 and 35,486,234 is: 75,230,899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,738,771 : 35,486,234 = 35,486,234 : x
  2. Step 2: Convert to fraction form
    16,738,771/35,486,234 = 35,486,234/x
  3. Step 3: Cross multiply
    16,738,771x = 35,486,234 × 35,486,234
  4. Step 4: Simplify right side
    16,738,771x = 1,259,272,803,502,756
  5. Step 5: Solve for x
    x = 1,259,272,803,502,756/16,738,771
  6. Step 6: Final answer
    x = 75,230,899.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.