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Finding the Third Proportional to 11,001,357 and 23,895,933.75

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Solution

The third proportional to 11,001,357 and 23,895,933.75 is: 51,904,110.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,001,357 : 23,895,933.75 = 23,895,933.75 : x
  2. Step 2: Convert to fraction form
    11,001,357/23,895,933.75 = 23,895,933.75/x
  3. Step 3: Cross multiply
    11,001,357x = 23,895,933.75 × 23,895,933.75
  4. Step 4: Simplify right side
    11,001,357x = 571,015,649,784,389
  5. Step 5: Solve for x
    x = 571,015,649,784,389/11,001,357
  6. Step 6: Final answer
    x = 51,904,110.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.