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Finding the Third Proportional to 212,715,096 and 462,699,952

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Solution

The third proportional to 212,715,096 and 462,699,952 is: 1,006,469,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,715,096 : 462,699,952 = 462,699,952 : x
  2. Step 2: Convert to fraction form
    212,715,096/462,699,952 = 462,699,952/x
  3. Step 3: Cross multiply
    212,715,096x = 462,699,952 × 462,699,952
  4. Step 4: Simplify right side
    212,715,096x = 214,091,245,580,802,304
  5. Step 5: Solve for x
    x = 214,091,245,580,802,304/212,715,096
  6. Step 6: Final answer
    x = 1,006,469,449.54

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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.