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Finding the Third Proportional to 9,419,715 and 20,202,354

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Solution

The third proportional to 9,419,715 and 20,202,354 is: 43,327,755.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419,715 : 20,202,354 = 20,202,354 : x
  2. Step 2: Convert to fraction form
    9,419,715/20,202,354 = 20,202,354/x
  3. Step 3: Cross multiply
    9,419,715x = 20,202,354 × 20,202,354
  4. Step 4: Simplify right side
    9,419,715x = 408,135,107,141,316
  5. Step 5: Solve for x
    x = 408,135,107,141,316/9,419,715
  6. Step 6: Final answer
    x = 43,327,755.37

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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.