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Finding the Third Proportional to 11,726,359.50 and 17,681,814

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Solution

The third proportional to 11,726,359.50 and 17,681,814 is: 26,661,859.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726,359.50 : 17,681,814 = 17,681,814 : x
  2. Step 2: Convert to fraction form
    11,726,359.50/17,681,814 = 17,681,814/x
  3. Step 3: Cross multiply
    11,726,359.50x = 17,681,814 × 17,681,814
  4. Step 4: Simplify right side
    11,726,359.50x = 312,646,546,330,596
  5. Step 5: Solve for x
    x = 312,646,546,330,596/11,726,359.50
  6. Step 6: Final answer
    x = 26,661,859.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.