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Finding the Third Proportional to 11,566,423.50 and 17,967,357

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Solution

The third proportional to 11,566,423.50 and 17,967,357 is: 27,910,608.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566,423.50 : 17,967,357 = 17,967,357 : x
  2. Step 2: Convert to fraction form
    11,566,423.50/17,967,357 = 17,967,357/x
  3. Step 3: Cross multiply
    11,566,423.50x = 17,967,357 × 17,967,357
  4. Step 4: Simplify right side
    11,566,423.50x = 322,825,917,565,449
  5. Step 5: Solve for x
    x = 322,825,917,565,449/11,566,423.50
  6. Step 6: Final answer
    x = 27,910,608.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.