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Finding the Third Proportional to 11,737,012 and 24,887,096

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Solution

The third proportional to 11,737,012 and 24,887,096 is: 52,770,462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737,012 : 24,887,096 = 24,887,096 : x
  2. Step 2: Convert to fraction form
    11,737,012/24,887,096 = 24,887,096/x
  3. Step 3: Cross multiply
    11,737,012x = 24,887,096 × 24,887,096
  4. Step 4: Simplify right side
    11,737,012x = 619,367,547,313,216
  5. Step 5: Solve for x
    x = 619,367,547,313,216/11,737,012
  6. Step 6: Final answer
    x = 52,770,462.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.