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Finding the Third Proportional to 1,193,647,356 and 2,568,693,294

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Solution

The third proportional to 1,193,647,356 and 2,568,693,294 is: 5,527,750,893.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193,647,356 : 2,568,693,294 = 2,568,693,294 : x
  2. Step 2: Convert to fraction form
    1,193,647,356/2,568,693,294 = 2,568,693,294/x
  3. Step 3: Cross multiply
    1,193,647,356x = 2,568,693,294 × 2,568,693,294
  4. Step 4: Simplify right side
    1,193,647,356x = 6,598,185,238,640,570,368
  5. Step 5: Solve for x
    x = 6,598,185,238,640,570,368/1,193,647,356
  6. Step 6: Final answer
    x = 5,527,750,893.49

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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.