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Finding the Third Proportional to 323,469,024 and 462,563,952

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Solution

The third proportional to 323,469,024 and 462,563,952 is: 661,471,095.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,469,024 : 462,563,952 = 462,563,952 : x
  2. Step 2: Convert to fraction form
    323,469,024/462,563,952 = 462,563,952/x
  3. Step 3: Cross multiply
    323,469,024x = 462,563,952 × 462,563,952
  4. Step 4: Simplify right side
    323,469,024x = 213,965,409,689,858,304
  5. Step 5: Solve for x
    x = 213,965,409,689,858,304/323,469,024
  6. Step 6: Final answer
    x = 661,471,095.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.