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Finding the Third Proportional to 2,040,674,847,656 and 4,384,192,411,792

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Solution

The third proportional to 2,040,674,847,656 and 4,384,192,411,792 is: 9,419,013,090,543.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040,674,847,656 : 4,384,192,411,792 = 4,384,192,411,792 : x
  2. Step 2: Convert to fraction form
    2,040,674,847,656/4,384,192,411,792 = 4,384,192,411,792/x
  3. Step 3: Cross multiply
    2,040,674,847,656x = 4,384,192,411,792 × 4,384,192,411,792
  4. Step 4: Simplify right side
    2,040,674,847,656x = 19,221,143,103,614,554,256,441,344
  5. Step 5: Solve for x
    x = 19,221,143,103,614,554,256,441,344/2,040,674,847,656
  6. Step 6: Final answer
    x = 9,419,013,090,543.42

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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.