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Finding the Third Proportional to 327,654,846 and 703,935,216

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Solution

The third proportional to 327,654,846 and 703,935,216 is: 1,512,337,737.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,654,846 : 703,935,216 = 703,935,216 : x
  2. Step 2: Convert to fraction form
    327,654,846/703,935,216 = 703,935,216/x
  3. Step 3: Cross multiply
    327,654,846x = 703,935,216 × 703,935,216
  4. Step 4: Simplify right side
    327,654,846x = 495,524,788,324,966,656
  5. Step 5: Solve for x
    x = 495,524,788,324,966,656/327,654,846
  6. Step 6: Final answer
    x = 1,512,337,737.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.