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Finding the Third Proportional to 3,184,190 and 6,727,777

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Solution

The third proportional to 3,184,190 and 6,727,777 is: 14,214,912.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184,190 : 6,727,777 = 6,727,777 : x
  2. Step 2: Convert to fraction form
    3,184,190/6,727,777 = 6,727,777/x
  3. Step 3: Cross multiply
    3,184,190x = 6,727,777 × 6,727,777
  4. Step 4: Simplify right side
    3,184,190x = 45,262,983,361,729
  5. Step 5: Solve for x
    x = 45,262,983,361,729/3,184,190
  6. Step 6: Final answer
    x = 14,214,912.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.