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Finding the Third Proportional to 11,131,711 and 23,946,257

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Solution

The third proportional to 11,131,711 and 23,946,257 is: 51,512,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,131,711 : 23,946,257 = 23,946,257 : x
  2. Step 2: Convert to fraction form
    11,131,711/23,946,257 = 23,946,257/x
  3. Step 3: Cross multiply
    11,131,711x = 23,946,257 × 23,946,257
  4. Step 4: Simplify right side
    11,131,711x = 573,423,224,310,049
  5. Step 5: Solve for x
    x = 573,423,224,310,049/11,131,711
  6. Step 6: Final answer
    x = 51,512,586.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.