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Finding the Third Proportional to 468,263,992 and 1,008,449,312

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Solution

The third proportional to 468,263,992 and 1,008,449,312 is: 2,171,787,778.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,263,992 : 1,008,449,312 = 1,008,449,312 : x
  2. Step 2: Convert to fraction form
    468,263,992/1,008,449,312 = 1,008,449,312/x
  3. Step 3: Cross multiply
    468,263,992x = 1,008,449,312 × 1,008,449,312
  4. Step 4: Simplify right side
    468,263,992x = 1,016,970,014,873,273,344
  5. Step 5: Solve for x
    x = 1,016,970,014,873,273,344/468,263,992
  6. Step 6: Final answer
    x = 2,171,787,778.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.