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Finding the Third Proportional to 5,538,999 and 11,518,314

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Solution

The third proportional to 5,538,999 and 11,518,314 is: 23,952,262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538,999 : 11,518,314 = 11,518,314 : x
  2. Step 2: Convert to fraction form
    5,538,999/11,518,314 = 11,518,314/x
  3. Step 3: Cross multiply
    5,538,999x = 11,518,314 × 11,518,314
  4. Step 4: Simplify right side
    5,538,999x = 132,671,557,402,596
  5. Step 5: Solve for x
    x = 132,671,557,402,596/5,538,999
  6. Step 6: Final answer
    x = 23,952,262.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.