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Finding the Third Proportional to 4,163,696 and 6,211,002

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Solution

The third proportional to 4,163,696 and 6,211,002 is: 9,264,976.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163,696 : 6,211,002 = 6,211,002 : x
  2. Step 2: Convert to fraction form
    4,163,696/6,211,002 = 6,211,002/x
  3. Step 3: Cross multiply
    4,163,696x = 6,211,002 × 6,211,002
  4. Step 4: Simplify right side
    4,163,696x = 38,576,545,844,004
  5. Step 5: Solve for x
    x = 38,576,545,844,004/4,163,696
  6. Step 6: Final answer
    x = 9,264,976.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.