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Finding the Third Proportional to 11,521,809 and 24,687,029.25

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Solution

The third proportional to 11,521,809 and 24,687,029.25 is: 52,895,288.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,521,809 : 24,687,029.25 = 24,687,029.25 : x
  2. Step 2: Convert to fraction form
    11,521,809/24,687,029.25 = 24,687,029.25/x
  3. Step 3: Cross multiply
    11,521,809x = 24,687,029.25 × 24,687,029.25
  4. Step 4: Simplify right side
    11,521,809x = 609,449,413,190,355.50
  5. Step 5: Solve for x
    x = 609,449,413,190,355.50/11,521,809
  6. Step 6: Final answer
    x = 52,895,288.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.