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Finding the Third Proportional to 16,278,214 and 25,193,843

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Solution

The third proportional to 16,278,214 and 25,193,843 is: 38,992,590.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278,214 : 25,193,843 = 25,193,843 : x
  2. Step 2: Convert to fraction form
    16,278,214/25,193,843 = 25,193,843/x
  3. Step 3: Cross multiply
    16,278,214x = 25,193,843 × 25,193,843
  4. Step 4: Simplify right side
    16,278,214x = 634,729,725,108,649
  5. Step 5: Solve for x
    x = 634,729,725,108,649/16,278,214
  6. Step 6: Final answer
    x = 38,992,590.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.