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Finding the Third Proportional to 11,234,149.25 and 24,198,762.25

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Solution

The third proportional to 11,234,149.25 and 24,198,762.25 is: 52,125,005.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234,149.25 : 24,198,762.25 = 24,198,762.25 : x
  2. Step 2: Convert to fraction form
    11,234,149.25/24,198,762.25 = 24,198,762.25/x
  3. Step 3: Cross multiply
    11,234,149.25x = 24,198,762.25 × 24,198,762.25
  4. Step 4: Simplify right side
    11,234,149.25x = 585,580,094,432,025
  5. Step 5: Solve for x
    x = 585,580,094,432,025/11,234,149.25
  6. Step 6: Final answer
    x = 52,125,005.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.