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Finding the Third Proportional to 36,836,378 and 80,207,901

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Solution

The third proportional to 36,836,378 and 80,207,901 is: 174,645,492.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,836,378 : 80,207,901 = 80,207,901 : x
  2. Step 2: Convert to fraction form
    36,836,378/80,207,901 = 80,207,901/x
  3. Step 3: Cross multiply
    36,836,378x = 80,207,901 × 80,207,901
  4. Step 4: Simplify right side
    36,836,378x = 6,433,307,382,825,801
  5. Step 5: Solve for x
    x = 6,433,307,382,825,801/36,836,378
  6. Step 6: Final answer
    x = 174,645,492.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.