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Finding the Third Proportional to 11,251,311 and 16,802,850

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Solution

The third proportional to 11,251,311 and 16,802,850 is: 25,093,588.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,251,311 : 16,802,850 = 16,802,850 : x
  2. Step 2: Convert to fraction form
    11,251,311/16,802,850 = 16,802,850/x
  3. Step 3: Cross multiply
    11,251,311x = 16,802,850 × 16,802,850
  4. Step 4: Simplify right side
    11,251,311x = 282,335,768,122,500
  5. Step 5: Solve for x
    x = 282,335,768,122,500/11,251,311
  6. Step 6: Final answer
    x = 25,093,588.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.