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Finding the Third Proportional to 5,096,016 and 11,091,168

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Solution

The third proportional to 5,096,016 and 11,091,168 is: 24,139,250.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096,016 : 11,091,168 = 11,091,168 : x
  2. Step 2: Convert to fraction form
    5,096,016/11,091,168 = 11,091,168/x
  3. Step 3: Cross multiply
    5,096,016x = 11,091,168 × 11,091,168
  4. Step 4: Simplify right side
    5,096,016x = 123,014,007,604,224
  5. Step 5: Solve for x
    x = 123,014,007,604,224/5,096,016
  6. Step 6: Final answer
    x = 24,139,250.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.