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Finding the Third Proportional to 11,375,736.56 and 16,096,316.06

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Solution

The third proportional to 11,375,736.56 and 16,096,316.06 is: 22,775,790.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375,736.56 : 16,096,316.06 = 16,096,316.06 : x
  2. Step 2: Convert to fraction form
    11,375,736.56/16,096,316.06 = 16,096,316.06/x
  3. Step 3: Cross multiply
    11,375,736.56x = 16,096,316.06 × 16,096,316.06
  4. Step 4: Simplify right side
    11,375,736.56x = 259,091,390,783,895.50
  5. Step 5: Solve for x
    x = 259,091,390,783,895.50/11,375,736.56
  6. Step 6: Final answer
    x = 22,775,790.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.