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Finding the Third Proportional to 11,444,924 and 16,040,021

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Solution

The third proportional to 11,444,924 and 16,040,021 is: 22,480,033.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444,924 : 16,040,021 = 16,040,021 : x
  2. Step 2: Convert to fraction form
    11,444,924/16,040,021 = 16,040,021/x
  3. Step 3: Cross multiply
    11,444,924x = 16,040,021 × 16,040,021
  4. Step 4: Simplify right side
    11,444,924x = 257,282,273,680,441
  5. Step 5: Solve for x
    x = 257,282,273,680,441/11,444,924
  6. Step 6: Final answer
    x = 22,480,033.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.