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Finding the Third Proportional to 379,901,909 and 567,616,512

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Solution

The third proportional to 379,901,909 and 567,616,512 is: 848,083,405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,901,909 : 567,616,512 = 567,616,512 : x
  2. Step 2: Convert to fraction form
    379,901,909/567,616,512 = 567,616,512/x
  3. Step 3: Cross multiply
    379,901,909x = 567,616,512 × 567,616,512
  4. Step 4: Simplify right side
    379,901,909x = 322,188,504,695,046,144
  5. Step 5: Solve for x
    x = 322,188,504,695,046,144/379,901,909
  6. Step 6: Final answer
    x = 848,083,405.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.