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Finding the Third Proportional to 3,004,214 and 6,680,110

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Solution

The third proportional to 3,004,214 and 6,680,110 is: 14,853,758.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004,214 : 6,680,110 = 6,680,110 : x
  2. Step 2: Convert to fraction form
    3,004,214/6,680,110 = 6,680,110/x
  3. Step 3: Cross multiply
    3,004,214x = 6,680,110 × 6,680,110
  4. Step 4: Simplify right side
    3,004,214x = 44,623,869,612,100
  5. Step 5: Solve for x
    x = 44,623,869,612,100/3,004,214
  6. Step 6: Final answer
    x = 14,853,758.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.