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Finding the Third Proportional to 10,413,048 and 22,617,189

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Solution

The third proportional to 10,413,048 and 22,617,189 is: 49,124,640.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413,048 : 22,617,189 = 22,617,189 : x
  2. Step 2: Convert to fraction form
    10,413,048/22,617,189 = 22,617,189/x
  3. Step 3: Cross multiply
    10,413,048x = 22,617,189 × 22,617,189
  4. Step 4: Simplify right side
    10,413,048x = 511,537,238,261,721
  5. Step 5: Solve for x
    x = 511,537,238,261,721/10,413,048
  6. Step 6: Final answer
    x = 49,124,640.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.