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Finding the Third Proportional to 11,541,645 and 18,011,214

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Solution

The third proportional to 11,541,645 and 18,011,214 is: 28,107,243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,541,645 : 18,011,214 = 18,011,214 : x
  2. Step 2: Convert to fraction form
    11,541,645/18,011,214 = 18,011,214/x
  3. Step 3: Cross multiply
    11,541,645x = 18,011,214 × 18,011,214
  4. Step 4: Simplify right side
    11,541,645x = 324,403,829,753,796
  5. Step 5: Solve for x
    x = 324,403,829,753,796/11,541,645
  6. Step 6: Final answer
    x = 28,107,243.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.