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Finding the Third Proportional to 37,871,910 and 81,797,256

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Solution

The third proportional to 37,871,910 and 81,797,256 is: 176,668,963.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,871,910 : 81,797,256 = 81,797,256 : x
  2. Step 2: Convert to fraction form
    37,871,910/81,797,256 = 81,797,256/x
  3. Step 3: Cross multiply
    37,871,910x = 81,797,256 × 81,797,256
  4. Step 4: Simplify right side
    37,871,910x = 6,690,791,089,129,536
  5. Step 5: Solve for x
    x = 6,690,791,089,129,536/37,871,910
  6. Step 6: Final answer
    x = 176,668,963.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.