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Finding the Third Proportional to 41,531,667,740,442 and 61,053,393,978,024

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Solution

The third proportional to 41,531,667,740,442 and 61,053,393,978,024 is: 89,751,197,556,800.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,531,667,740,442 : 61,053,393,978,024 = 61,053,393,978,024 : x
  2. Step 2: Convert to fraction form
    41,531,667,740,442/61,053,393,978,024 = 61,053,393,978,024/x
  3. Step 3: Cross multiply
    41,531,667,740,442x = 61,053,393,978,024 × 61,053,393,978,024
  4. Step 4: Simplify right side
    41,531,667,740,442x = 3,727,516,916,235,816,989,257,367,552
  5. Step 5: Solve for x
    x = 3,727,516,916,235,816,989,257,367,552/41,531,667,740,442
  6. Step 6: Final answer
    x = 89,751,197,556,800.72

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.