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Finding the Third Proportional to 1,477,171,335 and 3,199,469,406

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Solution

The third proportional to 1,477,171,335 and 3,199,469,406 is: 6,929,869,431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,171,335 : 3,199,469,406 = 3,199,469,406 : x
  2. Step 2: Convert to fraction form
    1,477,171,335/3,199,469,406 = 3,199,469,406/x
  3. Step 3: Cross multiply
    1,477,171,335x = 3,199,469,406 × 3,199,469,406
  4. Step 4: Simplify right side
    1,477,171,335x = 10,236,604,479,929,993,216
  5. Step 5: Solve for x
    x = 10,236,604,479,929,993,216/1,477,171,335
  6. Step 6: Final answer
    x = 6,929,869,431.79

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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.