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Finding the Third Proportional to 5,873,242 and 12,062,692

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Solution

The third proportional to 5,873,242 and 12,062,692 is: 24,774,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873,242 : 12,062,692 = 12,062,692 : x
  2. Step 2: Convert to fraction form
    5,873,242/12,062,692 = 12,062,692/x
  3. Step 3: Cross multiply
    5,873,242x = 12,062,692 × 12,062,692
  4. Step 4: Simplify right side
    5,873,242x = 145,508,538,286,864
  5. Step 5: Solve for x
    x = 145,508,538,286,864/5,873,242
  6. Step 6: Final answer
    x = 24,774,824.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.