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Finding the Third Proportional to 3,208,664 and 6,970,608

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Solution

The third proportional to 3,208,664 and 6,970,608 is: 15,143,179.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208,664 : 6,970,608 = 6,970,608 : x
  2. Step 2: Convert to fraction form
    3,208,664/6,970,608 = 6,970,608/x
  3. Step 3: Cross multiply
    3,208,664x = 6,970,608 × 6,970,608
  4. Step 4: Simplify right side
    3,208,664x = 48,589,375,889,664
  5. Step 5: Solve for x
    x = 48,589,375,889,664/3,208,664
  6. Step 6: Final answer
    x = 15,143,179.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.