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Finding the Third Proportional to 3,846,820 and 8,208,516

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Solution

The third proportional to 3,846,820 and 8,208,516 is: 17,515,697.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846,820 : 8,208,516 = 8,208,516 : x
  2. Step 2: Convert to fraction form
    3,846,820/8,208,516 = 8,208,516/x
  3. Step 3: Cross multiply
    3,846,820x = 8,208,516 × 8,208,516
  4. Step 4: Simplify right side
    3,846,820x = 67,379,734,922,256
  5. Step 5: Solve for x
    x = 67,379,734,922,256/3,846,820
  6. Step 6: Final answer
    x = 17,515,697.36

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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.