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Finding the Third Proportional to 3,726,820 and 7,941,704

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Solution

The third proportional to 3,726,820 and 7,941,704 is: 16,923,452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726,820 : 7,941,704 = 7,941,704 : x
  2. Step 2: Convert to fraction form
    3,726,820/7,941,704 = 7,941,704/x
  3. Step 3: Cross multiply
    3,726,820x = 7,941,704 × 7,941,704
  4. Step 4: Simplify right side
    3,726,820x = 63,070,662,423,616
  5. Step 5: Solve for x
    x = 63,070,662,423,616/3,726,820
  6. Step 6: Final answer
    x = 16,923,452.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.