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Finding the Third Proportional to 674,505,546 and 1,504,101,678

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Solution

The third proportional to 674,505,546 and 1,504,101,678 is: 3,354,044,857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,505,546 : 1,504,101,678 = 1,504,101,678 : x
  2. Step 2: Convert to fraction form
    674,505,546/1,504,101,678 = 1,504,101,678/x
  3. Step 3: Cross multiply
    674,505,546x = 1,504,101,678 × 1,504,101,678
  4. Step 4: Simplify right side
    674,505,546x = 2,262,321,857,762,415,616
  5. Step 5: Solve for x
    x = 2,262,321,857,762,415,616/674,505,546
  6. Step 6: Final answer
    x = 3,354,044,857.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.