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Finding the Third Proportional to 8,413,456 and 18,419,040

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Solution

The third proportional to 8,413,456 and 18,419,040 is: 40,323,623.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413,456 : 18,419,040 = 18,419,040 : x
  2. Step 2: Convert to fraction form
    8,413,456/18,419,040 = 18,419,040/x
  3. Step 3: Cross multiply
    8,413,456x = 18,419,040 × 18,419,040
  4. Step 4: Simplify right side
    8,413,456x = 339,261,034,521,600
  5. Step 5: Solve for x
    x = 339,261,034,521,600/8,413,456
  6. Step 6: Final answer
    x = 40,323,623.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.