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Finding the Third Proportional to 57,881,557,257 and 125,379,008,026

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Solution

The third proportional to 57,881,557,257 and 125,379,008,026 is: 271,587,296,516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,881,557,257 : 125,379,008,026 = 125,379,008,026 : x
  2. Step 2: Convert to fraction form
    57,881,557,257/125,379,008,026 = 125,379,008,026/x
  3. Step 3: Cross multiply
    57,881,557,257x = 125,379,008,026 × 125,379,008,026
  4. Step 4: Simplify right side
    57,881,557,257x = 15,719,895,653,583,771,664,384
  5. Step 5: Solve for x
    x = 15,719,895,653,583,771,664,384/57,881,557,257
  6. Step 6: Final answer
    x = 271,587,296,516.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.