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Finding the Third Proportional to 552,652,308 and 1,191,393,684

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Solution

The third proportional to 552,652,308 and 1,191,393,684 is: 2,568,375,974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,652,308 : 1,191,393,684 = 1,191,393,684 : x
  2. Step 2: Convert to fraction form
    552,652,308/1,191,393,684 = 1,191,393,684/x
  3. Step 3: Cross multiply
    552,652,308x = 1,191,393,684 × 1,191,393,684
  4. Step 4: Simplify right side
    552,652,308x = 1,419,418,910,275,091,968
  5. Step 5: Solve for x
    x = 1,419,418,910,275,091,968/552,652,308
  6. Step 6: Final answer
    x = 2,568,375,974.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.