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Finding the Third Proportional to 3,337,711.25 and 6,852,364.63

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Solution

The third proportional to 3,337,711.25 and 6,852,364.63 is: 14,067,993.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337,711.25 : 6,852,364.63 = 6,852,364.63 : x
  2. Step 2: Convert to fraction form
    3,337,711.25/6,852,364.63 = 6,852,364.63/x
  3. Step 3: Cross multiply
    3,337,711.25x = 6,852,364.63 × 6,852,364.63
  4. Step 4: Simplify right side
    3,337,711.25x = 46,954,900,953,951.39
  5. Step 5: Solve for x
    x = 46,954,900,953,951.39/3,337,711.25
  6. Step 6: Final answer
    x = 14,067,993.73

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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.