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Finding the Third Proportional to 2,433,424 and 5,633,218

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Solution

The third proportional to 2,433,424 and 5,633,218 is: 13,040,532.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433,424 : 5,633,218 = 5,633,218 : x
  2. Step 2: Convert to fraction form
    2,433,424/5,633,218 = 5,633,218/x
  3. Step 3: Cross multiply
    2,433,424x = 5,633,218 × 5,633,218
  4. Step 4: Simplify right side
    2,433,424x = 31,733,145,035,524
  5. Step 5: Solve for x
    x = 31,733,145,035,524/2,433,424
  6. Step 6: Final answer
    x = 13,040,532.61

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.