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Finding the Third Proportional to 16,500,144 and 35,527,920

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Solution

The third proportional to 16,500,144 and 35,527,920 is: 76,498,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500,144 : 35,527,920 = 35,527,920 : x
  2. Step 2: Convert to fraction form
    16,500,144/35,527,920 = 35,527,920/x
  3. Step 3: Cross multiply
    16,500,144x = 35,527,920 × 35,527,920
  4. Step 4: Simplify right side
    16,500,144x = 1,262,233,099,526,400
  5. Step 5: Solve for x
    x = 1,262,233,099,526,400/16,500,144
  6. Step 6: Final answer
    x = 76,498,308.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.