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Finding the Third Proportional to 212,715,104 and 462,699,968

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Solution

The third proportional to 212,715,104 and 462,699,968 is: 1,006,469,481.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,715,104 : 462,699,968 = 462,699,968 : x
  2. Step 2: Convert to fraction form
    212,715,104/462,699,968 = 462,699,968/x
  3. Step 3: Cross multiply
    212,715,104x = 462,699,968 × 462,699,968
  4. Step 4: Simplify right side
    212,715,104x = 214,091,260,387,201,024
  5. Step 5: Solve for x
    x = 214,091,260,387,201,024/212,715,104
  6. Step 6: Final answer
    x = 1,006,469,481.30

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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.