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Finding the Third Proportional to 11,511,096 and 24,866,520

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Solution

The third proportional to 11,511,096 and 24,866,520 is: 53,717,197.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511,096 : 24,866,520 = 24,866,520 : x
  2. Step 2: Convert to fraction form
    11,511,096/24,866,520 = 24,866,520/x
  3. Step 3: Cross multiply
    11,511,096x = 24,866,520 × 24,866,520
  4. Step 4: Simplify right side
    11,511,096x = 618,343,816,910,400
  5. Step 5: Solve for x
    x = 618,343,816,910,400/11,511,096
  6. Step 6: Final answer
    x = 53,717,197.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.