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Finding the Third Proportional to 2,205,471,778 and 3,414,555,699

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Solution

The third proportional to 2,205,471,778 and 3,414,555,699 is: 5,286,483,707.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205,471,778 : 3,414,555,699 = 3,414,555,699 : x
  2. Step 2: Convert to fraction form
    2,205,471,778/3,414,555,699 = 3,414,555,699/x
  3. Step 3: Cross multiply
    2,205,471,778x = 3,414,555,699 × 3,414,555,699
  4. Step 4: Simplify right side
    2,205,471,778x = 11,659,190,621,573,378,048
  5. Step 5: Solve for x
    x = 11,659,190,621,573,378,048/2,205,471,778
  6. Step 6: Final answer
    x = 5,286,483,707.42

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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.