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Finding the Third Proportional to 11,183,256 and 24,459,876

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Solution

The third proportional to 11,183,256 and 24,459,876 is: 53,498,331.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,183,256 : 24,459,876 = 24,459,876 : x
  2. Step 2: Convert to fraction form
    11,183,256/24,459,876 = 24,459,876/x
  3. Step 3: Cross multiply
    11,183,256x = 24,459,876 × 24,459,876
  4. Step 4: Simplify right side
    11,183,256x = 598,285,533,935,376
  5. Step 5: Solve for x
    x = 598,285,533,935,376/11,183,256
  6. Step 6: Final answer
    x = 53,498,331.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.