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Finding the Third Proportional to 6,974,150 and 15,049,249

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Solution

The third proportional to 6,974,150 and 15,049,249 is: 32,474,193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974,150 : 15,049,249 = 15,049,249 : x
  2. Step 2: Convert to fraction form
    6,974,150/15,049,249 = 15,049,249/x
  3. Step 3: Cross multiply
    6,974,150x = 15,049,249 × 15,049,249
  4. Step 4: Simplify right side
    6,974,150x = 226,479,895,464,001
  5. Step 5: Solve for x
    x = 226,479,895,464,001/6,974,150
  6. Step 6: Final answer
    x = 32,474,193.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.