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Finding the Third Proportional to 674,505,273 and 1,504,101,165.75

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Solution

The third proportional to 674,505,273 and 1,504,101,165.75 is: 3,354,043,930.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,505,273 : 1,504,101,165.75 = 1,504,101,165.75 : x
  2. Step 2: Convert to fraction form
    674,505,273/1,504,101,165.75 = 1,504,101,165.75/x
  3. Step 3: Cross multiply
    674,505,273x = 1,504,101,165.75 × 1,504,101,165.75
  4. Step 4: Simplify right side
    674,505,273x = 2,262,320,316,810,509,056
  5. Step 5: Solve for x
    x = 2,262,320,316,810,509,056/674,505,273
  6. Step 6: Final answer
    x = 3,354,043,930.23

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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.