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Finding the Third Proportional to 127,144,333 and 274,611,242

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Solution

The third proportional to 127,144,333 and 274,611,242 is: 593,115,968.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,144,333 : 274,611,242 = 274,611,242 : x
  2. Step 2: Convert to fraction form
    127,144,333/274,611,242 = 274,611,242/x
  3. Step 3: Cross multiply
    127,144,333x = 274,611,242 × 274,611,242
  4. Step 4: Simplify right side
    127,144,333x = 75,411,334,232,782,560
  5. Step 5: Solve for x
    x = 75,411,334,232,782,560/127,144,333
  6. Step 6: Final answer
    x = 593,115,968.71

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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.