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Finding the Third Proportional to 11,234,157 and 24,198,774

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Solution

The third proportional to 11,234,157 and 24,198,774 is: 52,125,020.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234,157 : 24,198,774 = 24,198,774 : x
  2. Step 2: Convert to fraction form
    11,234,157/24,198,774 = 24,198,774/x
  3. Step 3: Cross multiply
    11,234,157x = 24,198,774 × 24,198,774
  4. Step 4: Simplify right side
    11,234,157x = 585,580,663,103,076
  5. Step 5: Solve for x
    x = 585,580,663,103,076/11,234,157
  6. Step 6: Final answer
    x = 52,125,020.43

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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.