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Finding the Third Proportional to 3,835,290,937,396 and 8,345,747,577,924

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Solution

The third proportional to 3,835,290,937,396 and 8,345,747,577,924 is: 18,160,682,923,761.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835,290,937,396 : 8,345,747,577,924 = 8,345,747,577,924 : x
  2. Step 2: Convert to fraction form
    3,835,290,937,396/8,345,747,577,924 = 8,345,747,577,924/x
  3. Step 3: Cross multiply
    3,835,290,937,396x = 8,345,747,577,924 × 8,345,747,577,924
  4. Step 4: Simplify right side
    3,835,290,937,396x = 69,651,502,634,424,309,087,469,568
  5. Step 5: Solve for x
    x = 69,651,502,634,424,309,087,469,568/3,835,290,937,396
  6. Step 6: Final answer
    x = 18,160,682,923,761.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.