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Finding the Third Proportional to 7,635,956 and 16,467,470

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Solution

The third proportional to 7,635,956 and 16,467,470 is: 35,513,243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635,956 : 16,467,470 = 16,467,470 : x
  2. Step 2: Convert to fraction form
    7,635,956/16,467,470 = 16,467,470/x
  3. Step 3: Cross multiply
    7,635,956x = 16,467,470 × 16,467,470
  4. Step 4: Simplify right side
    7,635,956x = 271,177,568,200,900
  5. Step 5: Solve for x
    x = 271,177,568,200,900/7,635,956
  6. Step 6: Final answer
    x = 35,513,243.95

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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.