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Finding the Third Proportional to 9,974,634 and 21,474,876

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Solution

The third proportional to 9,974,634 and 21,474,876 is: 46,234,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974,634 : 21,474,876 = 21,474,876 : x
  2. Step 2: Convert to fraction form
    9,974,634/21,474,876 = 21,474,876/x
  3. Step 3: Cross multiply
    9,974,634x = 21,474,876 × 21,474,876
  4. Step 4: Simplify right side
    9,974,634x = 461,170,299,215,376
  5. Step 5: Solve for x
    x = 461,170,299,215,376/9,974,634
  6. Step 6: Final answer
    x = 46,234,307.87

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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.