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Finding the Third Proportional to 3,306,857 and 6,746,570

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Solution

The third proportional to 3,306,857 and 6,746,570 is: 13,764,189.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306,857 : 6,746,570 = 6,746,570 : x
  2. Step 2: Convert to fraction form
    3,306,857/6,746,570 = 6,746,570/x
  3. Step 3: Cross multiply
    3,306,857x = 6,746,570 × 6,746,570
  4. Step 4: Simplify right side
    3,306,857x = 45,516,206,764,900
  5. Step 5: Solve for x
    x = 45,516,206,764,900/3,306,857
  6. Step 6: Final answer
    x = 13,764,189.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.