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Finding the Third Proportional to 5,219,157 and 11,246,608.50

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Solution

The third proportional to 5,219,157 and 11,246,608.50 is: 24,234,987.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219,157 : 11,246,608.50 = 11,246,608.50 : x
  2. Step 2: Convert to fraction form
    5,219,157/11,246,608.50 = 11,246,608.50/x
  3. Step 3: Cross multiply
    5,219,157x = 11,246,608.50 × 11,246,608.50
  4. Step 4: Simplify right side
    5,219,157x = 126,486,202,752,272.25
  5. Step 5: Solve for x
    x = 126,486,202,752,272.25/5,219,157
  6. Step 6: Final answer
    x = 24,234,987.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.