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Finding the Third Proportional to 11,375,760.50 and 16,096,352

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Solution

The third proportional to 11,375,760.50 and 16,096,352 is: 22,775,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375,760.50 : 16,096,352 = 16,096,352 : x
  2. Step 2: Convert to fraction form
    11,375,760.50/16,096,352 = 16,096,352/x
  3. Step 3: Cross multiply
    11,375,760.50x = 16,096,352 × 16,096,352
  4. Step 4: Simplify right side
    11,375,760.50x = 259,092,547,707,904
  5. Step 5: Solve for x
    x = 259,092,547,707,904/11,375,760.50
  6. Step 6: Final answer
    x = 22,775,844.10

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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.