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Finding the Third Proportional to 14,917,897 and 32,131,233

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Solution

The third proportional to 14,917,897 and 32,131,233 is: 69,206,546.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,917,897 : 32,131,233 = 32,131,233 : x
  2. Step 2: Convert to fraction form
    14,917,897/32,131,233 = 32,131,233/x
  3. Step 3: Cross multiply
    14,917,897x = 32,131,233 × 32,131,233
  4. Step 4: Simplify right side
    14,917,897x = 1,032,416,134,100,289
  5. Step 5: Solve for x
    x = 1,032,416,134,100,289/14,917,897
  6. Step 6: Final answer
    x = 69,206,546.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.