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Finding the Third Proportional to 5,933,711 and 12,181,984

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Solution

The third proportional to 5,933,711 and 12,181,984 is: 25,009,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,933,711 : 12,181,984 = 12,181,984 : x
  2. Step 2: Convert to fraction form
    5,933,711/12,181,984 = 12,181,984/x
  3. Step 3: Cross multiply
    5,933,711x = 12,181,984 × 12,181,984
  4. Step 4: Simplify right side
    5,933,711x = 148,400,734,176,256
  5. Step 5: Solve for x
    x = 148,400,734,176,256/5,933,711
  6. Step 6: Final answer
    x = 25,009,767.78

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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.