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Finding the Third Proportional to 3,394,783,878 and 7,420,669,860

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Solution

The third proportional to 3,394,783,878 and 7,420,669,860 is: 16,220,867,999.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394,783,878 : 7,420,669,860 = 7,420,669,860 : x
  2. Step 2: Convert to fraction form
    3,394,783,878/7,420,669,860 = 7,420,669,860/x
  3. Step 3: Cross multiply
    3,394,783,878x = 7,420,669,860 × 7,420,669,860
  4. Step 4: Simplify right side
    3,394,783,878x = 55,066,341,171,112,419,328
  5. Step 5: Solve for x
    x = 55,066,341,171,112,419,328/3,394,783,878
  6. Step 6: Final answer
    x = 16,220,867,999.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.