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Finding the Third Proportional to 5,500,800 and 13,006,368

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Solution

The third proportional to 5,500,800 and 13,006,368 is: 30,752,910.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,500,800 : 13,006,368 = 13,006,368 : x
  2. Step 2: Convert to fraction form
    5,500,800/13,006,368 = 13,006,368/x
  3. Step 3: Cross multiply
    5,500,800x = 13,006,368 × 13,006,368
  4. Step 4: Simplify right side
    5,500,800x = 169,165,608,551,424
  5. Step 5: Solve for x
    x = 169,165,608,551,424/5,500,800
  6. Step 6: Final answer
    x = 30,752,910.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.