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Finding the Third Proportional to 4,415,181,571 and 6,786,450,626

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Solution

The third proportional to 4,415,181,571 and 6,786,450,626 is: 10,431,261,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,415,181,571 : 6,786,450,626 = 6,786,450,626 : x
  2. Step 2: Convert to fraction form
    4,415,181,571/6,786,450,626 = 6,786,450,626/x
  3. Step 3: Cross multiply
    4,415,181,571x = 6,786,450,626 × 6,786,450,626
  4. Step 4: Simplify right side
    4,415,181,571x = 46,055,912,099,135,791,104
  5. Step 5: Solve for x
    x = 46,055,912,099,135,791,104/4,415,181,571
  6. Step 6: Final answer
    x = 10,431,261,174.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.