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Finding the Third Proportional to 11,186,241 and 17,685,189

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Solution

The third proportional to 11,186,241 and 17,685,189 is: 27,959,875.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186,241 : 17,685,189 = 17,685,189 : x
  2. Step 2: Convert to fraction form
    11,186,241/17,685,189 = 17,685,189/x
  3. Step 3: Cross multiply
    11,186,241x = 17,685,189 × 17,685,189
  4. Step 4: Simplify right side
    11,186,241x = 312,765,909,965,721
  5. Step 5: Solve for x
    x = 312,765,909,965,721/11,186,241
  6. Step 6: Final answer
    x = 27,959,875.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.