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Finding the Third Proportional to 11,375,764 and 16,096,357

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Solution

The third proportional to 11,375,764 and 16,096,357 is: 22,775,851.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375,764 : 16,096,357 = 16,096,357 : x
  2. Step 2: Convert to fraction form
    11,375,764/16,096,357 = 16,096,357/x
  3. Step 3: Cross multiply
    11,375,764x = 16,096,357 × 16,096,357
  4. Step 4: Simplify right side
    11,375,764x = 259,092,708,671,449
  5. Step 5: Solve for x
    x = 259,092,708,671,449/11,375,764
  6. Step 6: Final answer
    x = 22,775,851.25

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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.