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Finding the Third Proportional to 29,727,212 and 65,300,234

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Solution

The third proportional to 29,727,212 and 65,300,234 is: 143,441,657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,727,212 : 65,300,234 = 65,300,234 : x
  2. Step 2: Convert to fraction form
    29,727,212/65,300,234 = 65,300,234/x
  3. Step 3: Cross multiply
    29,727,212x = 65,300,234 × 65,300,234
  4. Step 4: Simplify right side
    29,727,212x = 4,264,120,560,454,756
  5. Step 5: Solve for x
    x = 4,264,120,560,454,756/29,727,212
  6. Step 6: Final answer
    x = 143,441,657.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.