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Finding the Third Proportional to 682,408,832 and 1,473,556,384

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Solution

The third proportional to 682,408,832 and 1,473,556,384 is: 3,181,917,224.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,408,832 : 1,473,556,384 = 1,473,556,384 : x
  2. Step 2: Convert to fraction form
    682,408,832/1,473,556,384 = 1,473,556,384/x
  3. Step 3: Cross multiply
    682,408,832x = 1,473,556,384 × 1,473,556,384
  4. Step 4: Simplify right side
    682,408,832x = 2,171,368,416,827,155,456
  5. Step 5: Solve for x
    x = 2,171,368,416,827,155,456/682,408,832
  6. Step 6: Final answer
    x = 3,181,917,224.70

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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.