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Finding the Third Proportional to 11,006,444 and 23,344,771

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Solution

The third proportional to 11,006,444 and 23,344,771 is: 49,514,478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,006,444 : 23,344,771 = 23,344,771 : x
  2. Step 2: Convert to fraction form
    11,006,444/23,344,771 = 23,344,771/x
  3. Step 3: Cross multiply
    11,006,444x = 23,344,771 × 23,344,771
  4. Step 4: Simplify right side
    11,006,444x = 544,978,333,042,441
  5. Step 5: Solve for x
    x = 544,978,333,042,441/11,006,444
  6. Step 6: Final answer
    x = 49,514,478.34

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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.