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Finding the Third Proportional to 5,589,229.50 and 11,384,001

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Solution

The third proportional to 5,589,229.50 and 11,384,001 is: 23,186,644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589,229.50 : 11,384,001 = 11,384,001 : x
  2. Step 2: Convert to fraction form
    5,589,229.50/11,384,001 = 11,384,001/x
  3. Step 3: Cross multiply
    5,589,229.50x = 11,384,001 × 11,384,001
  4. Step 4: Simplify right side
    5,589,229.50x = 129,595,478,768,001
  5. Step 5: Solve for x
    x = 129,595,478,768,001/5,589,229.50
  6. Step 6: Final answer
    x = 23,186,644.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.