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Finding the Third Proportional to 3,337,716 and 6,852,375

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Solution

The third proportional to 3,337,716 and 6,852,375 is: 14,068,016.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337,716 : 6,852,375 = 6,852,375 : x
  2. Step 2: Convert to fraction form
    3,337,716/6,852,375 = 6,852,375/x
  3. Step 3: Cross multiply
    3,337,716x = 6,852,375 × 6,852,375
  4. Step 4: Simplify right side
    3,337,716x = 46,955,043,140,625
  5. Step 5: Solve for x
    x = 46,955,043,140,625/3,337,716
  6. Step 6: Final answer
    x = 14,068,016.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.