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Finding the Third Proportional to 3,184,180 and 6,727,760

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Solution

The third proportional to 3,184,180 and 6,727,760 is: 14,214,885.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184,180 : 6,727,760 = 6,727,760 : x
  2. Step 2: Convert to fraction form
    3,184,180/6,727,760 = 6,727,760/x
  3. Step 3: Cross multiply
    3,184,180x = 6,727,760 × 6,727,760
  4. Step 4: Simplify right side
    3,184,180x = 45,262,754,617,600
  5. Step 5: Solve for x
    x = 45,262,754,617,600/3,184,180
  6. Step 6: Final answer
    x = 14,214,885.66

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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.