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Finding the Third Proportional to 12,179,040 and 17,135,606.25

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Solution

The third proportional to 12,179,040 and 17,135,606.25 is: 24,109,371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179,040 : 17,135,606.25 = 17,135,606.25 : x
  2. Step 2: Convert to fraction form
    12,179,040/17,135,606.25 = 17,135,606.25/x
  3. Step 3: Cross multiply
    12,179,040x = 17,135,606.25 × 17,135,606.25
  4. Step 4: Simplify right side
    12,179,040x = 293,629,001,555,039.06
  5. Step 5: Solve for x
    x = 293,629,001,555,039.06/12,179,040
  6. Step 6: Final answer
    x = 24,109,371.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.