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Finding the Third Proportional to 212,715,108 and 462,699,976

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Solution

The third proportional to 212,715,108 and 462,699,976 is: 1,006,469,497.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,715,108 : 462,699,976 = 462,699,976 : x
  2. Step 2: Convert to fraction form
    212,715,108/462,699,976 = 462,699,976/x
  3. Step 3: Cross multiply
    212,715,108x = 462,699,976 × 462,699,976
  4. Step 4: Simplify right side
    212,715,108x = 214,091,267,790,400,576
  5. Step 5: Solve for x
    x = 214,091,267,790,400,576/212,715,108
  6. Step 6: Final answer
    x = 1,006,469,497.18

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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.