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Finding the Third Proportional to 8,972,314 and 19,738,932

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Solution

The third proportional to 8,972,314 and 19,738,932 is: 43,425,301.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972,314 : 19,738,932 = 19,738,932 : x
  2. Step 2: Convert to fraction form
    8,972,314/19,738,932 = 19,738,932/x
  3. Step 3: Cross multiply
    8,972,314x = 19,738,932 × 19,738,932
  4. Step 4: Simplify right side
    8,972,314x = 389,625,436,500,624
  5. Step 5: Solve for x
    x = 389,625,436,500,624/8,972,314
  6. Step 6: Final answer
    x = 43,425,301.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.