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Finding the Third Proportional to 5,455,162 and 8,182,743

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Solution

The third proportional to 5,455,162 and 8,182,743 is: 12,274,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,455,162 : 8,182,743 = 8,182,743 : x
  2. Step 2: Convert to fraction form
    5,455,162/8,182,743 = 8,182,743/x
  3. Step 3: Cross multiply
    5,455,162x = 8,182,743 × 8,182,743
  4. Step 4: Simplify right side
    5,455,162x = 66,957,283,004,049
  5. Step 5: Solve for x
    x = 66,957,283,004,049/5,455,162
  6. Step 6: Final answer
    x = 12,274,114.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.