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Finding the Third Proportional to 3,505,693.50 and 5,385,174.75

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Solution

The third proportional to 3,505,693.50 and 5,385,174.75 is: 8,272,288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505,693.50 : 5,385,174.75 = 5,385,174.75 : x
  2. Step 2: Convert to fraction form
    3,505,693.50/5,385,174.75 = 5,385,174.75/x
  3. Step 3: Cross multiply
    3,505,693.50x = 5,385,174.75 × 5,385,174.75
  4. Step 4: Simplify right side
    3,505,693.50x = 29,000,107,088,037.56
  5. Step 5: Solve for x
    x = 29,000,107,088,037.56/3,505,693.50
  6. Step 6: Final answer
    x = 8,272,288.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.