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Finding the Third Proportional to 9,419,909 and 20,283,214

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Solution

The third proportional to 9,419,909 and 20,283,214 is: 43,674,389.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419,909 : 20,283,214 = 20,283,214 : x
  2. Step 2: Convert to fraction form
    9,419,909/20,283,214 = 20,283,214/x
  3. Step 3: Cross multiply
    9,419,909x = 20,283,214 × 20,283,214
  4. Step 4: Simplify right side
    9,419,909x = 411,408,770,169,796
  5. Step 5: Solve for x
    x = 411,408,770,169,796/9,419,909
  6. Step 6: Final answer
    x = 43,674,389.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.