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Finding the Third Proportional to 6,082,228.13 and 8,503,327.69

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Solution

The third proportional to 6,082,228.13 and 8,503,327.69 is: 11,888,173.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082,228.13 : 8,503,327.69 = 8,503,327.69 : x
  2. Step 2: Convert to fraction form
    6,082,228.13/8,503,327.69 = 8,503,327.69/x
  3. Step 3: Cross multiply
    6,082,228.13x = 8,503,327.69 × 8,503,327.69
  4. Step 4: Simplify right side
    6,082,228.13x = 72,306,581,761,004.09
  5. Step 5: Solve for x
    x = 72,306,581,761,004.09/6,082,228.13
  6. Step 6: Final answer
    x = 11,888,173.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.