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Finding the Third Proportional to 5,140,866 and 11,166,714

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Solution

The third proportional to 5,140,866 and 11,166,714 is: 24,255,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140,866 : 11,166,714 = 11,166,714 : x
  2. Step 2: Convert to fraction form
    5,140,866/11,166,714 = 11,166,714/x
  3. Step 3: Cross multiply
    5,140,866x = 11,166,714 × 11,166,714
  4. Step 4: Simplify right side
    5,140,866x = 124,695,501,557,796
  5. Step 5: Solve for x
    x = 124,695,501,557,796/5,140,866
  6. Step 6: Final answer
    x = 24,255,738.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.