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Finding the Third Proportional to 5,523,864 and 11,815,296

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Solution

The third proportional to 5,523,864 and 11,815,296 is: 25,272,385.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523,864 : 11,815,296 = 11,815,296 : x
  2. Step 2: Convert to fraction form
    5,523,864/11,815,296 = 11,815,296/x
  3. Step 3: Cross multiply
    5,523,864x = 11,815,296 × 11,815,296
  4. Step 4: Simplify right side
    5,523,864x = 139,601,219,567,616
  5. Step 5: Solve for x
    x = 139,601,219,567,616/5,523,864
  6. Step 6: Final answer
    x = 25,272,385.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.