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Finding the Third Proportional to 24,837,431,092.50 and 54,170,175,759

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Solution

The third proportional to 24,837,431,092.50 and 54,170,175,759 is: 118,144,583,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,837,431,092.50 : 54,170,175,759 = 54,170,175,759 : x
  2. Step 2: Convert to fraction form
    24,837,431,092.50/54,170,175,759 = 54,170,175,759/x
  3. Step 3: Cross multiply
    24,837,431,092.50x = 54,170,175,759 × 54,170,175,759
  4. Step 4: Simplify right side
    24,837,431,092.50x = 2,934,407,941,760,950,992,896
  5. Step 5: Solve for x
    x = 2,934,407,941,760,950,992,896/24,837,431,092.50
  6. Step 6: Final answer
    x = 118,144,583,102.52

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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.