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Finding the Third Proportional to 23,531,716,912.50 and 50,420,542,202.50

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Solution

The third proportional to 23,531,716,912.50 and 50,420,542,202.50 is: 108,034,236,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,531,716,912.50 : 50,420,542,202.50 = 50,420,542,202.50 : x
  2. Step 2: Convert to fraction form
    23,531,716,912.50/50,420,542,202.50 = 50,420,542,202.50/x
  3. Step 3: Cross multiply
    23,531,716,912.50x = 50,420,542,202.50 × 50,420,542,202.50
  4. Step 4: Simplify right side
    23,531,716,912.50x = 2,542,231,075,994,083,524,608
  5. Step 5: Solve for x
    x = 2,542,231,075,994,083,524,608/23,531,716,912.50
  6. Step 6: Final answer
    x = 108,034,236,747.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.