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Finding the Third Proportional to 16,397,568 and 24,172,416

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Solution

The third proportional to 16,397,568 and 24,172,416 is: 35,633,680.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,397,568 : 24,172,416 = 24,172,416 : x
  2. Step 2: Convert to fraction form
    16,397,568/24,172,416 = 24,172,416/x
  3. Step 3: Cross multiply
    16,397,568x = 24,172,416 × 24,172,416
  4. Step 4: Simplify right side
    16,397,568x = 584,305,695,277,056
  5. Step 5: Solve for x
    x = 584,305,695,277,056/16,397,568
  6. Step 6: Final answer
    x = 35,633,680.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.