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Finding the Third Proportional to 5,237,864 and 11,276,656

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Solution

The third proportional to 5,237,864 and 11,276,656 is: 24,277,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237,864 : 11,276,656 = 11,276,656 : x
  2. Step 2: Convert to fraction form
    5,237,864/11,276,656 = 11,276,656/x
  3. Step 3: Cross multiply
    5,237,864x = 11,276,656 × 11,276,656
  4. Step 4: Simplify right side
    5,237,864x = 127,162,970,542,336
  5. Step 5: Solve for x
    x = 127,162,970,542,336/5,237,864
  6. Step 6: Final answer
    x = 24,277,638.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.