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Finding the Third Proportional to 7,879,476 and 17,253,696

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Solution

The third proportional to 7,879,476 and 17,253,696 is: 37,780,434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879,476 : 17,253,696 = 17,253,696 : x
  2. Step 2: Convert to fraction form
    7,879,476/17,253,696 = 17,253,696/x
  3. Step 3: Cross multiply
    7,879,476x = 17,253,696 × 17,253,696
  4. Step 4: Simplify right side
    7,879,476x = 297,690,025,660,416
  5. Step 5: Solve for x
    x = 297,690,025,660,416/7,879,476
  6. Step 6: Final answer
    x = 37,780,434.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.