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Finding the Third Proportional to 5,255,714 and 11,331,796

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Solution

The third proportional to 5,255,714 and 11,331,796 is: 24,432,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255,714 : 11,331,796 = 11,331,796 : x
  2. Step 2: Convert to fraction form
    5,255,714/11,331,796 = 11,331,796/x
  3. Step 3: Cross multiply
    5,255,714x = 11,331,796 × 11,331,796
  4. Step 4: Simplify right side
    5,255,714x = 128,409,600,585,616
  5. Step 5: Solve for x
    x = 128,409,600,585,616/5,255,714
  6. Step 6: Final answer
    x = 24,432,379.80

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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.