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Finding the Third Proportional to 2,205,471,782 and 3,414,555,705

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Solution

The third proportional to 2,205,471,782 and 3,414,555,705 is: 5,286,483,716.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205,471,782 : 3,414,555,705 = 3,414,555,705 : x
  2. Step 2: Convert to fraction form
    2,205,471,782/3,414,555,705 = 3,414,555,705/x
  3. Step 3: Cross multiply
    2,205,471,782x = 3,414,555,705 × 3,414,555,705
  4. Step 4: Simplify right side
    2,205,471,782x = 11,659,190,662,548,047,872
  5. Step 5: Solve for x
    x = 11,659,190,662,548,047,872/2,205,471,782
  6. Step 6: Final answer
    x = 5,286,483,716.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.