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Finding the Third Proportional to 3,415,825 and 7,338,170

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Solution

The third proportional to 3,415,825 and 7,338,170 is: 15,764,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415,825 : 7,338,170 = 7,338,170 : x
  2. Step 2: Convert to fraction form
    3,415,825/7,338,170 = 7,338,170/x
  3. Step 3: Cross multiply
    3,415,825x = 7,338,170 × 7,338,170
  4. Step 4: Simplify right side
    3,415,825x = 53,848,738,948,900
  5. Step 5: Solve for x
    x = 53,848,738,948,900/3,415,825
  6. Step 6: Final answer
    x = 15,764,489.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.