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Finding the Third Proportional to 3,491,223,417 and 5,231,728,172.25

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Solution

The third proportional to 3,491,223,417 and 5,231,728,172.25 is: 7,839,939,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491,223,417 : 5,231,728,172.25 = 5,231,728,172.25 : x
  2. Step 2: Convert to fraction form
    3,491,223,417/5,231,728,172.25 = 5,231,728,172.25/x
  3. Step 3: Cross multiply
    3,491,223,417x = 5,231,728,172.25 × 5,231,728,172.25
  4. Step 4: Simplify right side
    3,491,223,417x = 27,370,979,668,314,324,992
  5. Step 5: Solve for x
    x = 27,370,979,668,314,324,992/3,491,223,417
  6. Step 6: Final answer
    x = 7,839,939,298.94

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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.