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Finding the Third Proportional to 57,881,557,254 and 125,379,007,962

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Solution

The third proportional to 57,881,557,254 and 125,379,007,962 is: 271,587,296,253.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,881,557,254 : 125,379,007,962 = 125,379,007,962 : x
  2. Step 2: Convert to fraction form
    57,881,557,254/125,379,007,962 = 125,379,007,962/x
  3. Step 3: Cross multiply
    57,881,557,254x = 125,379,007,962 × 125,379,007,962
  4. Step 4: Simplify right side
    57,881,557,254x = 15,719,895,637,535,259,361,280
  5. Step 5: Solve for x
    x = 15,719,895,637,535,259,361,280/57,881,557,254
  6. Step 6: Final answer
    x = 271,587,296,253.14

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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.