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Finding the Third Proportional to 674,505,519.75 and 1,504,101,631.50

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Solution

The third proportional to 674,505,519.75 and 1,504,101,631.50 is: 3,354,044,780.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,505,519.75 : 1,504,101,631.50 = 1,504,101,631.50 : x
  2. Step 2: Convert to fraction form
    674,505,519.75/1,504,101,631.50 = 1,504,101,631.50/x
  3. Step 3: Cross multiply
    674,505,519.75x = 1,504,101,631.50 × 1,504,101,631.50
  4. Step 4: Simplify right side
    674,505,519.75x = 2,262,321,717,880,961,792
  5. Step 5: Solve for x
    x = 2,262,321,717,880,961,792/674,505,519.75
  6. Step 6: Final answer
    x = 3,354,044,780.42

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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.