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Finding the Third Proportional to 3,305,998.69 and 7,012,014.75

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Solution

The third proportional to 3,305,998.69 and 7,012,014.75 is: 14,872,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305,998.69 : 7,012,014.75 = 7,012,014.75 : x
  2. Step 2: Convert to fraction form
    3,305,998.69/7,012,014.75 = 7,012,014.75/x
  3. Step 3: Cross multiply
    3,305,998.69x = 7,012,014.75 × 7,012,014.75
  4. Step 4: Simplify right side
    3,305,998.69x = 49,168,350,854,217.56
  5. Step 5: Solve for x
    x = 49,168,350,854,217.56/3,305,998.69
  6. Step 6: Final answer
    x = 14,872,465.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.