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Finding the Third Proportional to 36,488,976 and 78,763,296

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Solution

The third proportional to 36,488,976 and 78,763,296 is: 170,014,548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,488,976 : 78,763,296 = 78,763,296 : x
  2. Step 2: Convert to fraction form
    36,488,976/78,763,296 = 78,763,296/x
  3. Step 3: Cross multiply
    36,488,976x = 78,763,296 × 78,763,296
  4. Step 4: Simplify right side
    36,488,976x = 6,203,656,796,783,616
  5. Step 5: Solve for x
    x = 6,203,656,796,783,616/36,488,976
  6. Step 6: Final answer
    x = 170,014,548.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.