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Finding the Third Proportional to 36,881,016 and 80,436,633

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Solution

The third proportional to 36,881,016 and 80,436,633 is: 175,430,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,881,016 : 80,436,633 = 80,436,633 : x
  2. Step 2: Convert to fraction form
    36,881,016/80,436,633 = 80,436,633/x
  3. Step 3: Cross multiply
    36,881,016x = 80,436,633 × 80,436,633
  4. Step 4: Simplify right side
    36,881,016x = 6,470,051,928,376,689
  5. Step 5: Solve for x
    x = 6,470,051,928,376,689/36,881,016
  6. Step 6: Final answer
    x = 175,430,414.62

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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.