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Finding the Third Proportional to 3,805,147,336 and 5,821,449,378

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Solution

The third proportional to 3,805,147,336 and 5,821,449,378 is: 8,906,165,745.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805,147,336 : 5,821,449,378 = 5,821,449,378 : x
  2. Step 2: Convert to fraction form
    3,805,147,336/5,821,449,378 = 5,821,449,378/x
  3. Step 3: Cross multiply
    3,805,147,336x = 5,821,449,378 × 5,821,449,378
  4. Step 4: Simplify right side
    3,805,147,336x = 33,889,272,860,616,585,216
  5. Step 5: Solve for x
    x = 33,889,272,860,616,585,216/3,805,147,336
  6. Step 6: Final answer
    x = 8,906,165,745.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.