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Finding the Third Proportional to 674,505,282 and 1,504,101,181

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Solution

The third proportional to 674,505,282 and 1,504,101,181 is: 3,354,043,953.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,505,282 : 1,504,101,181 = 1,504,101,181 : x
  2. Step 2: Convert to fraction form
    674,505,282/1,504,101,181 = 1,504,101,181/x
  3. Step 3: Cross multiply
    674,505,282x = 1,504,101,181 × 1,504,101,181
  4. Step 4: Simplify right side
    674,505,282x = 2,262,320,362,685,594,880
  5. Step 5: Solve for x
    x = 2,262,320,362,685,594,880/674,505,282
  6. Step 6: Final answer
    x = 3,354,043,953.48

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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.