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Finding the Third Proportional to 7,198,717 and 10,185,962

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Solution

The third proportional to 7,198,717 and 10,185,962 is: 14,412,821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198,717 : 10,185,962 = 10,185,962 : x
  2. Step 2: Convert to fraction form
    7,198,717/10,185,962 = 10,185,962/x
  3. Step 3: Cross multiply
    7,198,717x = 10,185,962 × 10,185,962
  4. Step 4: Simplify right side
    7,198,717x = 103,753,821,865,444
  5. Step 5: Solve for x
    x = 103,753,821,865,444/7,198,717
  6. Step 6: Final answer
    x = 14,412,821.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.