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Finding the Third Proportional to 8,857,296 and 13,664,376

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Solution

The third proportional to 8,857,296 and 13,664,376 is: 21,080,380.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,857,296 : 13,664,376 = 13,664,376 : x
  2. Step 2: Convert to fraction form
    8,857,296/13,664,376 = 13,664,376/x
  3. Step 3: Cross multiply
    8,857,296x = 13,664,376 × 13,664,376
  4. Step 4: Simplify right side
    8,857,296x = 186,715,171,469,376
  5. Step 5: Solve for x
    x = 186,715,171,469,376/8,857,296
  6. Step 6: Final answer
    x = 21,080,380.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.