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Finding the Third Proportional to 3,619,167,255 and 7,809,968,193

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Solution

The third proportional to 3,619,167,255 and 7,809,968,193 is: 16,853,491,114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,619,167,255 : 7,809,968,193 = 7,809,968,193 : x
  2. Step 2: Convert to fraction form
    3,619,167,255/7,809,968,193 = 7,809,968,193/x
  3. Step 3: Cross multiply
    3,619,167,255x = 7,809,968,193 × 7,809,968,193
  4. Step 4: Simplify right side
    3,619,167,255x = 60,995,603,175,671,685,120
  5. Step 5: Solve for x
    x = 60,995,603,175,671,685,120/3,619,167,255
  6. Step 6: Final answer
    x = 16,853,491,114.95

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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.