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Finding the Third Proportional to 827,482,367 and 1,800,246,496

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Solution

The third proportional to 827,482,367 and 1,800,246,496 is: 3,916,563,754.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,482,367 : 1,800,246,496 = 1,800,246,496 : x
  2. Step 2: Convert to fraction form
    827,482,367/1,800,246,496 = 1,800,246,496/x
  3. Step 3: Cross multiply
    827,482,367x = 1,800,246,496 × 1,800,246,496
  4. Step 4: Simplify right side
    827,482,367x = 3,240,887,446,360,278,016
  5. Step 5: Solve for x
    x = 3,240,887,446,360,278,016/827,482,367
  6. Step 6: Final answer
    x = 3,916,563,754.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.