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Finding the Third Proportional to 3,282,340 and 6,825,608

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Solution

The third proportional to 3,282,340 and 6,825,608 is: 14,193,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282,340 : 6,825,608 = 6,825,608 : x
  2. Step 2: Convert to fraction form
    3,282,340/6,825,608 = 6,825,608/x
  3. Step 3: Cross multiply
    3,282,340x = 6,825,608 × 6,825,608
  4. Step 4: Simplify right side
    3,282,340x = 46,588,924,569,664
  5. Step 5: Solve for x
    x = 46,588,924,569,664/3,282,340
  6. Step 6: Final answer
    x = 14,193,814.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.