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Finding the Third Proportional to 9,419,717 and 20,202,358

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Solution

The third proportional to 9,419,717 and 20,202,358 is: 43,327,763.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419,717 : 20,202,358 = 20,202,358 : x
  2. Step 2: Convert to fraction form
    9,419,717/20,202,358 = 20,202,358/x
  3. Step 3: Cross multiply
    9,419,717x = 20,202,358 × 20,202,358
  4. Step 4: Simplify right side
    9,419,717x = 408,135,268,760,164
  5. Step 5: Solve for x
    x = 408,135,268,760,164/9,419,717
  6. Step 6: Final answer
    x = 43,327,763.32

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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.