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Finding the Third Proportional to 3,430,180 and 6,773,608

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Solution

The third proportional to 3,430,180 and 6,773,608 is: 13,375,906.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430,180 : 6,773,608 = 6,773,608 : x
  2. Step 2: Convert to fraction form
    3,430,180/6,773,608 = 6,773,608/x
  3. Step 3: Cross multiply
    3,430,180x = 6,773,608 × 6,773,608
  4. Step 4: Simplify right side
    3,430,180x = 45,881,765,337,664
  5. Step 5: Solve for x
    x = 45,881,765,337,664/3,430,180
  6. Step 6: Final answer
    x = 13,375,906.03

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.