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Finding the Third Proportional to 3,389,738,256 and 7,182,722,104

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Solution

The third proportional to 3,389,738,256 and 7,182,722,104 is: 15,219,905,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389,738,256 : 7,182,722,104 = 7,182,722,104 : x
  2. Step 2: Convert to fraction form
    3,389,738,256/7,182,722,104 = 7,182,722,104/x
  3. Step 3: Cross multiply
    3,389,738,256x = 7,182,722,104 × 7,182,722,104
  4. Step 4: Simplify right side
    3,389,738,256x = 51,591,496,823,290,183,680
  5. Step 5: Solve for x
    x = 51,591,496,823,290,183,680/3,389,738,256
  6. Step 6: Final answer
    x = 15,219,905,764.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.