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Finding the Third Proportional to 23,531,716,912 and 50,420,542,201

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Solution

The third proportional to 23,531,716,912 and 50,420,542,201 is: 108,034,236,743.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,531,716,912 : 50,420,542,201 = 50,420,542,201 : x
  2. Step 2: Convert to fraction form
    23,531,716,912/50,420,542,201 = 50,420,542,201/x
  3. Step 3: Cross multiply
    23,531,716,912x = 50,420,542,201 × 50,420,542,201
  4. Step 4: Simplify right side
    23,531,716,912x = 2,542,231,075,842,821,718,016
  5. Step 5: Solve for x
    x = 2,542,231,075,842,821,718,016/23,531,716,912
  6. Step 6: Final answer
    x = 108,034,236,743.11

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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.