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Finding the Third Proportional to 275,496,445.50 and 599,418,356.25

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Solution

The third proportional to 275,496,445.50 and 599,418,356.25 is: 1,304,199,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,496,445.50 : 599,418,356.25 = 599,418,356.25 : x
  2. Step 2: Convert to fraction form
    275,496,445.50/599,418,356.25 = 599,418,356.25/x
  3. Step 3: Cross multiply
    275,496,445.50x = 599,418,356.25 × 599,418,356.25
  4. Step 4: Simplify right side
    275,496,445.50x = 359,302,365,809,451,904
  5. Step 5: Solve for x
    x = 359,302,365,809,451,904/275,496,445.50
  6. Step 6: Final answer
    x = 1,304,199,642.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.