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Finding the Third Proportional to 668,509,204 and 1,466,158,760

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Solution

The third proportional to 668,509,204 and 1,466,158,760 is: 3,215,545,121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,509,204 : 1,466,158,760 = 1,466,158,760 : x
  2. Step 2: Convert to fraction form
    668,509,204/1,466,158,760 = 1,466,158,760/x
  3. Step 3: Cross multiply
    668,509,204x = 1,466,158,760 × 1,466,158,760
  4. Step 4: Simplify right side
    668,509,204x = 2,149,621,509,524,737,536
  5. Step 5: Solve for x
    x = 2,149,621,509,524,737,536/668,509,204
  6. Step 6: Final answer
    x = 3,215,545,121.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.