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Finding the Third Proportional to 5,933,712 and 12,181,986

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Solution

The third proportional to 5,933,712 and 12,181,986 is: 25,009,771.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,933,712 : 12,181,986 = 12,181,986 : x
  2. Step 2: Convert to fraction form
    5,933,712/12,181,986 = 12,181,986/x
  3. Step 3: Cross multiply
    5,933,712x = 12,181,986 × 12,181,986
  4. Step 4: Simplify right side
    5,933,712x = 148,400,782,904,196
  5. Step 5: Solve for x
    x = 148,400,782,904,196/5,933,712
  6. Step 6: Final answer
    x = 25,009,771.78

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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.