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Finding the Third Proportional to 5,150,498 and 11,196,879

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Solution

The third proportional to 5,150,498 and 11,196,879 is: 24,341,354.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150,498 : 11,196,879 = 11,196,879 : x
  2. Step 2: Convert to fraction form
    5,150,498/11,196,879 = 11,196,879/x
  3. Step 3: Cross multiply
    5,150,498x = 11,196,879 × 11,196,879
  4. Step 4: Simplify right side
    5,150,498x = 125,370,099,340,641
  5. Step 5: Solve for x
    x = 125,370,099,340,641/5,150,498
  6. Step 6: Final answer
    x = 24,341,354.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.