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Finding the Third Proportional to 11,487,576 and 24,230,016

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Solution

The third proportional to 11,487,576 and 24,230,016 is: 51,106,837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,487,576 : 24,230,016 = 24,230,016 : x
  2. Step 2: Convert to fraction form
    11,487,576/24,230,016 = 24,230,016/x
  3. Step 3: Cross multiply
    11,487,576x = 24,230,016 × 24,230,016
  4. Step 4: Simplify right side
    11,487,576x = 587,093,675,360,256
  5. Step 5: Solve for x
    x = 587,093,675,360,256/11,487,576
  6. Step 6: Final answer
    x = 51,106,837.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.