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Finding the Third Proportional to 515,815,989 and 1,132,965,422

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Solution

The third proportional to 515,815,989 and 1,132,965,422 is: 2,488,504,960.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,815,989 : 1,132,965,422 = 1,132,965,422 : x
  2. Step 2: Convert to fraction form
    515,815,989/1,132,965,422 = 1,132,965,422/x
  3. Step 3: Cross multiply
    515,815,989x = 1,132,965,422 × 1,132,965,422
  4. Step 4: Simplify right side
    515,815,989x = 1,283,610,647,447,638,016
  5. Step 5: Solve for x
    x = 1,283,610,647,447,638,016/515,815,989
  6. Step 6: Final answer
    x = 2,488,504,960.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.