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Finding the Third Proportional to 1,609,488,381,648 and 3,266,270,760,768

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Solution

The third proportional to 1,609,488,381,648 and 3,266,270,760,768 is: 6,628,519,226,540.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,488,381,648 : 3,266,270,760,768 = 3,266,270,760,768 : x
  2. Step 2: Convert to fraction form
    1,609,488,381,648/3,266,270,760,768 = 3,266,270,760,768/x
  3. Step 3: Cross multiply
    1,609,488,381,648x = 3,266,270,760,768 × 3,266,270,760,768
  4. Step 4: Simplify right side
    1,609,488,381,648x = 10,668,524,682,647,969,686,618,112
  5. Step 5: Solve for x
    x = 10,668,524,682,647,969,686,618,112/1,609,488,381,648
  6. Step 6: Final answer
    x = 6,628,519,226,540.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.