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Finding the Third Proportional to 3,491,223,418 and 5,231,728,173.50

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Solution

The third proportional to 3,491,223,418 and 5,231,728,173.50 is: 7,839,939,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491,223,418 : 5,231,728,173.50 = 5,231,728,173.50 : x
  2. Step 2: Convert to fraction form
    3,491,223,418/5,231,728,173.50 = 5,231,728,173.50/x
  3. Step 3: Cross multiply
    3,491,223,418x = 5,231,728,173.50 × 5,231,728,173.50
  4. Step 4: Simplify right side
    3,491,223,418x = 27,370,979,681,393,647,616
  5. Step 5: Solve for x
    x = 27,370,979,681,393,647,616/3,491,223,418
  6. Step 6: Final answer
    x = 7,839,939,300.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.