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Finding the Third Proportional to 17,557,065,728 and 26,747,205,504

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Solution

The third proportional to 17,557,065,728 and 26,747,205,504 is: 40,747,868,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,557,065,728 : 26,747,205,504 = 26,747,205,504 : x
  2. Step 2: Convert to fraction form
    17,557,065,728/26,747,205,504 = 26,747,205,504/x
  3. Step 3: Cross multiply
    17,557,065,728x = 26,747,205,504 × 26,747,205,504
  4. Step 4: Simplify right side
    17,557,065,728x = 715,413,002,273,207,877,632
  5. Step 5: Solve for x
    x = 715,413,002,273,207,877,632/17,557,065,728
  6. Step 6: Final answer
    x = 40,747,868,314.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.