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Finding the Third Proportional to 3,505,183.88 and 7,288,997.63

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Solution

The third proportional to 3,505,183.88 and 7,288,997.63 is: 15,157,403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505,183.88 : 7,288,997.63 = 7,288,997.63 : x
  2. Step 2: Convert to fraction form
    3,505,183.88/7,288,997.63 = 7,288,997.63/x
  3. Step 3: Cross multiply
    3,505,183.88x = 7,288,997.63 × 7,288,997.63
  4. Step 4: Simplify right side
    3,505,183.88x = 53,129,486,377,255.64
  5. Step 5: Solve for x
    x = 53,129,486,377,255.64/3,505,183.88
  6. Step 6: Final answer
    x = 15,157,403.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.