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Finding the Third Proportional to 36,836,416 and 80,207,973

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Solution

The third proportional to 36,836,416 and 80,207,973 is: 174,645,626.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,836,416 : 80,207,973 = 80,207,973 : x
  2. Step 2: Convert to fraction form
    36,836,416/80,207,973 = 80,207,973/x
  3. Step 3: Cross multiply
    36,836,416x = 80,207,973 × 80,207,973
  4. Step 4: Simplify right side
    36,836,416x = 6,433,318,932,768,729
  5. Step 5: Solve for x
    x = 6,433,318,932,768,729/36,836,416
  6. Step 6: Final answer
    x = 174,645,626.02

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