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Finding the Third Proportional to 11,375,731 and 16,096,312

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Solution

The third proportional to 11,375,731 and 16,096,312 is: 22,775,789.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375,731 : 16,096,312 = 16,096,312 : x
  2. Step 2: Convert to fraction form
    11,375,731/16,096,312 = 16,096,312/x
  3. Step 3: Cross multiply
    11,375,731x = 16,096,312 × 16,096,312
  4. Step 4: Simplify right side
    11,375,731x = 259,091,260,001,344
  5. Step 5: Solve for x
    x = 259,091,260,001,344/11,375,731
  6. Step 6: Final answer
    x = 22,775,789.97

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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.