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Finding the Third Proportional to 40,031,544 and 81,177,021

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Solution

The third proportional to 40,031,544 and 81,177,021 is: 164,612,904.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,031,544 : 81,177,021 = 81,177,021 : x
  2. Step 2: Convert to fraction form
    40,031,544/81,177,021 = 81,177,021/x
  3. Step 3: Cross multiply
    40,031,544x = 81,177,021 × 81,177,021
  4. Step 4: Simplify right side
    40,031,544x = 6,589,708,738,434,441
  5. Step 5: Solve for x
    x = 6,589,708,738,434,441/40,031,544
  6. Step 6: Final answer
    x = 164,612,904.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.