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Finding the Third Proportional to 11,029,856 and 16,556,448

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Solution

The third proportional to 11,029,856 and 16,556,448 is: 24,852,180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,029,856 : 16,556,448 = 16,556,448 : x
  2. Step 2: Convert to fraction form
    11,029,856/16,556,448 = 16,556,448/x
  3. Step 3: Cross multiply
    11,029,856x = 16,556,448 × 16,556,448
  4. Step 4: Simplify right side
    11,029,856x = 274,115,970,376,704
  5. Step 5: Solve for x
    x = 274,115,970,376,704/11,029,856
  6. Step 6: Final answer
    x = 24,852,180.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.