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Finding the Third Proportional to 11,830,872 and 24,222,192

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Solution

The third proportional to 11,830,872 and 24,222,192 is: 49,591,829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830,872 : 24,222,192 = 24,222,192 : x
  2. Step 2: Convert to fraction form
    11,830,872/24,222,192 = 24,222,192/x
  3. Step 3: Cross multiply
    11,830,872x = 24,222,192 × 24,222,192
  4. Step 4: Simplify right side
    11,830,872x = 586,714,585,284,864
  5. Step 5: Solve for x
    x = 586,714,585,284,864/11,830,872
  6. Step 6: Final answer
    x = 49,591,829.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.