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Finding the Third Proportional to 7,284,950 and 10,524,675

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Solution

The third proportional to 7,284,950 and 10,524,675 is: 15,205,153.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284,950 : 10,524,675 = 10,524,675 : x
  2. Step 2: Convert to fraction form
    7,284,950/10,524,675 = 10,524,675/x
  3. Step 3: Cross multiply
    7,284,950x = 10,524,675 × 10,524,675
  4. Step 4: Simplify right side
    7,284,950x = 110,768,783,855,625
  5. Step 5: Solve for x
    x = 110,768,783,855,625/7,284,950
  6. Step 6: Final answer
    x = 15,205,153.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.