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Finding the Third Proportional to 4,322,394 and 9,405,876

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Solution

The third proportional to 4,322,394 and 9,405,876 is: 20,467,940.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322,394 : 9,405,876 = 9,405,876 : x
  2. Step 2: Convert to fraction form
    4,322,394/9,405,876 = 9,405,876/x
  3. Step 3: Cross multiply
    4,322,394x = 9,405,876 × 9,405,876
  4. Step 4: Simplify right side
    4,322,394x = 88,470,503,327,376
  5. Step 5: Solve for x
    x = 88,470,503,327,376/4,322,394
  6. Step 6: Final answer
    x = 20,467,940.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.