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Finding the Third Proportional to 3,194,856 and 7,028,438.25

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Solution

The third proportional to 3,194,856 and 7,028,438.25 is: 15,462,025.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,856 : 7,028,438.25 = 7,028,438.25 : x
  2. Step 2: Convert to fraction form
    3,194,856/7,028,438.25 = 7,028,438.25/x
  3. Step 3: Cross multiply
    3,194,856x = 7,028,438.25 × 7,028,438.25
  4. Step 4: Simplify right side
    3,194,856x = 49,398,944,234,063.06
  5. Step 5: Solve for x
    x = 49,398,944,234,063.06/3,194,856
  6. Step 6: Final answer
    x = 15,462,025.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.