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Finding the Third Proportional to 11,006,442 and 23,344,767

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Solution

The third proportional to 11,006,442 and 23,344,767 is: 49,514,470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006,442 : 23,344,767 = 23,344,767 : x
  2. Step 2: Convert to fraction form
    11,006,442/23,344,767 = 23,344,767/x
  3. Step 3: Cross multiply
    11,006,442x = 23,344,767 × 23,344,767
  4. Step 4: Simplify right side
    11,006,442x = 544,978,146,284,289
  5. Step 5: Solve for x
    x = 544,978,146,284,289/11,006,442
  6. Step 6: Final answer
    x = 49,514,470.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.