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Finding the Third Proportional to 127,144,326 and 274,611,228

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Solution

The third proportional to 127,144,326 and 274,611,228 is: 593,115,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,144,326 : 274,611,228 = 274,611,228 : x
  2. Step 2: Convert to fraction form
    127,144,326/274,611,228 = 274,611,228/x
  3. Step 3: Cross multiply
    127,144,326x = 274,611,228 × 274,611,228
  4. Step 4: Simplify right side
    127,144,326x = 75,411,326,543,667,984
  5. Step 5: Solve for x
    x = 75,411,326,543,667,984/127,144,326
  6. Step 6: Final answer
    x = 593,115,940.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.