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Finding the Third Proportional to 2,040,674,847,659 and 4,384,192,411,798

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Solution

The third proportional to 2,040,674,847,659 and 4,384,192,411,798 is: 9,419,013,090,555.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040,674,847,659 : 4,384,192,411,798 = 4,384,192,411,798 : x
  2. Step 2: Convert to fraction form
    2,040,674,847,659/4,384,192,411,798 = 4,384,192,411,798/x
  3. Step 3: Cross multiply
    2,040,674,847,659x = 4,384,192,411,798 × 4,384,192,411,798
  4. Step 4: Simplify right side
    2,040,674,847,659x = 19,221,143,103,667,163,310,850,048
  5. Step 5: Solve for x
    x = 19,221,143,103,667,163,310,850,048/2,040,674,847,659
  6. Step 6: Final answer
    x = 9,419,013,090,555.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.