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Finding the Third Proportional to 11,345,082.75 and 24,425,910

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Solution

The third proportional to 11,345,082.75 and 24,425,910 is: 52,588,869.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345,082.75 : 24,425,910 = 24,425,910 : x
  2. Step 2: Convert to fraction form
    11,345,082.75/24,425,910 = 24,425,910/x
  3. Step 3: Cross multiply
    11,345,082.75x = 24,425,910 × 24,425,910
  4. Step 4: Simplify right side
    11,345,082.75x = 596,625,079,328,100
  5. Step 5: Solve for x
    x = 596,625,079,328,100/11,345,082.75
  6. Step 6: Final answer
    x = 52,588,869.78

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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.