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Finding the Third Proportional to 3,809,408.25 and 8,135,449.50

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Solution

The third proportional to 3,809,408.25 and 8,135,449.50 is: 17,374,230.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809,408.25 : 8,135,449.50 = 8,135,449.50 : x
  2. Step 2: Convert to fraction form
    3,809,408.25/8,135,449.50 = 8,135,449.50/x
  3. Step 3: Cross multiply
    3,809,408.25x = 8,135,449.50 × 8,135,449.50
  4. Step 4: Simplify right side
    3,809,408.25x = 66,185,538,567,050.25
  5. Step 5: Solve for x
    x = 66,185,538,567,050.25/3,809,408.25
  6. Step 6: Final answer
    x = 17,374,230.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.