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Finding the Third Proportional to 11,381,777 and 16,646,253

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Solution

The third proportional to 11,381,777 and 16,646,253 is: 24,345,736.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381,777 : 16,646,253 = 16,646,253 : x
  2. Step 2: Convert to fraction form
    11,381,777/16,646,253 = 16,646,253/x
  3. Step 3: Cross multiply
    11,381,777x = 16,646,253 × 16,646,253
  4. Step 4: Simplify right side
    11,381,777x = 277,097,738,940,009
  5. Step 5: Solve for x
    x = 277,097,738,940,009/11,381,777
  6. Step 6: Final answer
    x = 24,345,736.08

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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.