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Finding the Third Proportional to 3,805,147,413 and 5,821,449,480

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Solution

The third proportional to 3,805,147,413 and 5,821,449,480 is: 8,906,165,877.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805,147,413 : 5,821,449,480 = 5,821,449,480 : x
  2. Step 2: Convert to fraction form
    3,805,147,413/5,821,449,480 = 5,821,449,480/x
  3. Step 3: Cross multiply
    3,805,147,413x = 5,821,449,480 × 5,821,449,480
  4. Step 4: Simplify right side
    3,805,147,413x = 33,889,274,048,192,270,336
  5. Step 5: Solve for x
    x = 33,889,274,048,192,270,336/3,805,147,413
  6. Step 6: Final answer
    x = 8,906,165,877.41

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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.