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Finding the Third Proportional to 274,228,218.56 and 593,184,824.44

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Solution

The third proportional to 274,228,218.56 and 593,184,824.44 is: 1,283,121,911.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,228,218.56 : 593,184,824.44 = 593,184,824.44 : x
  2. Step 2: Convert to fraction form
    274,228,218.56/593,184,824.44 = 593,184,824.44/x
  3. Step 3: Cross multiply
    274,228,218.56x = 593,184,824.44 × 593,184,824.44
  4. Step 4: Simplify right side
    274,228,218.56x = 351,868,235,942,947,712
  5. Step 5: Solve for x
    x = 351,868,235,942,947,712/274,228,218.56
  6. Step 6: Final answer
    x = 1,283,121,911.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.