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Finding the Third Proportional to 24,682,957,866 and 37,601,936,011

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Solution

The third proportional to 24,682,957,866 and 37,601,936,011 is: 57,282,664,397.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,682,957,866 : 37,601,936,011 = 37,601,936,011 : x
  2. Step 2: Convert to fraction form
    24,682,957,866/37,601,936,011 = 37,601,936,011/x
  3. Step 3: Cross multiply
    24,682,957,866x = 37,601,936,011 × 37,601,936,011
  4. Step 4: Simplify right side
    24,682,957,866x = 1,413,905,591,775,338,692,608
  5. Step 5: Solve for x
    x = 1,413,905,591,775,338,692,608/24,682,957,866
  6. Step 6: Final answer
    x = 57,282,664,397.48

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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.