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Finding the Third Proportional to 216,246,516 and 447,823,092

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Solution

The third proportional to 216,246,516 and 447,823,092 is: 927,393,076.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,246,516 : 447,823,092 = 447,823,092 : x
  2. Step 2: Convert to fraction form
    216,246,516/447,823,092 = 447,823,092/x
  3. Step 3: Cross multiply
    216,246,516x = 447,823,092 × 447,823,092
  4. Step 4: Simplify right side
    216,246,516x = 200,545,521,728,440,448
  5. Step 5: Solve for x
    x = 200,545,521,728,440,448/216,246,516
  6. Step 6: Final answer
    x = 927,393,076.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.