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Finding the Third Proportional to 3,589,008.75 and 5,516,566.31

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Solution

The third proportional to 3,589,008.75 and 5,516,566.31 is: 8,479,361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589,008.75 : 5,516,566.31 = 5,516,566.31 : x
  2. Step 2: Convert to fraction form
    3,589,008.75/5,516,566.31 = 5,516,566.31/x
  3. Step 3: Cross multiply
    3,589,008.75x = 5,516,566.31 × 5,516,566.31
  4. Step 4: Simplify right side
    3,589,008.75x = 30,432,503,880,209.85
  5. Step 5: Solve for x
    x = 30,432,503,880,209.85/3,589,008.75
  6. Step 6: Final answer
    x = 8,479,361.85

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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.