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Finding the Third Proportional to 9,117,564 and 19,455,474

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Solution

The third proportional to 9,117,564 and 19,455,474 is: 41,514,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117,564 : 19,455,474 = 19,455,474 : x
  2. Step 2: Convert to fraction form
    9,117,564/19,455,474 = 19,455,474/x
  3. Step 3: Cross multiply
    9,117,564x = 19,455,474 × 19,455,474
  4. Step 4: Simplify right side
    9,117,564x = 378,515,468,564,676
  5. Step 5: Solve for x
    x = 378,515,468,564,676/9,117,564
  6. Step 6: Final answer
    x = 41,514,977.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.