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Finding the Third Proportional to 11,548,189 and 24,802,238

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Solution

The third proportional to 11,548,189 and 24,802,238 is: 53,268,179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548,189 : 24,802,238 = 24,802,238 : x
  2. Step 2: Convert to fraction form
    11,548,189/24,802,238 = 24,802,238/x
  3. Step 3: Cross multiply
    11,548,189x = 24,802,238 × 24,802,238
  4. Step 4: Simplify right side
    11,548,189x = 615,151,009,808,644
  5. Step 5: Solve for x
    x = 615,151,009,808,644/11,548,189
  6. Step 6: Final answer
    x = 53,268,179.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.