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Finding the Third Proportional to 11,384,847 and 24,984,669.38

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Solution

The third proportional to 11,384,847 and 24,984,669.38 is: 54,830,223.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384,847 : 24,984,669.38 = 24,984,669.38 : x
  2. Step 2: Convert to fraction form
    11,384,847/24,984,669.38 = 24,984,669.38/x
  3. Step 3: Cross multiply
    11,384,847x = 24,984,669.38 × 24,984,669.38
  4. Step 4: Simplify right side
    11,384,847x = 624,233,703,778,062.88
  5. Step 5: Solve for x
    x = 624,233,703,778,062.88/11,384,847
  6. Step 6: Final answer
    x = 54,830,223.35

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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.