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Finding the Third Proportional to 11,871,972 and 17,738,074

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Solution

The third proportional to 11,871,972 and 17,738,074 is: 26,502,696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871,972 : 17,738,074 = 17,738,074 : x
  2. Step 2: Convert to fraction form
    11,871,972/17,738,074 = 17,738,074/x
  3. Step 3: Cross multiply
    11,871,972x = 17,738,074 × 17,738,074
  4. Step 4: Simplify right side
    11,871,972x = 314,639,269,229,476
  5. Step 5: Solve for x
    x = 314,639,269,229,476/11,871,972
  6. Step 6: Final answer
    x = 26,502,696.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.