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Finding the Third Proportional to 11,381,775 and 16,646,250

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Solution

The third proportional to 11,381,775 and 16,646,250 is: 24,345,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381,775 : 16,646,250 = 16,646,250 : x
  2. Step 2: Convert to fraction form
    11,381,775/16,646,250 = 16,646,250/x
  3. Step 3: Cross multiply
    11,381,775x = 16,646,250 × 16,646,250
  4. Step 4: Simplify right side
    11,381,775x = 277,097,639,062,500
  5. Step 5: Solve for x
    x = 277,097,639,062,500/11,381,775
  6. Step 6: Final answer
    x = 24,345,731.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.