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Finding the Third Proportional to 1,477,171,339 and 3,199,469,414

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Solution

The third proportional to 1,477,171,339 and 3,199,469,414 is: 6,929,869,447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,171,339 : 3,199,469,414 = 3,199,469,414 : x
  2. Step 2: Convert to fraction form
    1,477,171,339/3,199,469,414 = 3,199,469,414/x
  3. Step 3: Cross multiply
    1,477,171,339x = 3,199,469,414 × 3,199,469,414
  4. Step 4: Simplify right side
    1,477,171,339x = 10,236,604,531,121,504,256
  5. Step 5: Solve for x
    x = 10,236,604,531,121,504,256/1,477,171,339
  6. Step 6: Final answer
    x = 6,929,869,447.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.