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Finding the Third Proportional to 127,198,620 and 274,540,968

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Solution

The third proportional to 127,198,620 and 274,540,968 is: 592,559,440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,198,620 : 274,540,968 = 274,540,968 : x
  2. Step 2: Convert to fraction form
    127,198,620/274,540,968 = 274,540,968/x
  3. Step 3: Cross multiply
    127,198,620x = 274,540,968 × 274,540,968
  4. Step 4: Simplify right side
    127,198,620x = 75,372,743,110,377,024
  5. Step 5: Solve for x
    x = 75,372,743,110,377,024/127,198,620
  6. Step 6: Final answer
    x = 592,559,440.58

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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.