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Finding the Third Proportional to 1,477,171,337 and 3,199,469,410

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Solution

The third proportional to 1,477,171,337 and 3,199,469,410 is: 6,929,869,439.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,171,337 : 3,199,469,410 = 3,199,469,410 : x
  2. Step 2: Convert to fraction form
    1,477,171,337/3,199,469,410 = 3,199,469,410/x
  3. Step 3: Cross multiply
    1,477,171,337x = 3,199,469,410 × 3,199,469,410
  4. Step 4: Simplify right side
    1,477,171,337x = 10,236,604,505,525,747,712
  5. Step 5: Solve for x
    x = 10,236,604,505,525,747,712/1,477,171,337
  6. Step 6: Final answer
    x = 6,929,869,439.73

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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.