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Finding the Third Proportional to 11,871,974 and 17,738,077

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Solution

The third proportional to 11,871,974 and 17,738,077 is: 26,502,700.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871,974 : 17,738,077 = 17,738,077 : x
  2. Step 2: Convert to fraction form
    11,871,974/17,738,077 = 17,738,077/x
  3. Step 3: Cross multiply
    11,871,974x = 17,738,077 × 17,738,077
  4. Step 4: Simplify right side
    11,871,974x = 314,639,375,657,929
  5. Step 5: Solve for x
    x = 314,639,375,657,929/11,871,974
  6. Step 6: Final answer
    x = 26,502,700.87

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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.