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Finding the Third Proportional to 5,107,770 and 10,990,474

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Solution

The third proportional to 5,107,770 and 10,990,474 is: 23,648,386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107,770 : 10,990,474 = 10,990,474 : x
  2. Step 2: Convert to fraction form
    5,107,770/10,990,474 = 10,990,474/x
  3. Step 3: Cross multiply
    5,107,770x = 10,990,474 × 10,990,474
  4. Step 4: Simplify right side
    5,107,770x = 120,790,518,744,676
  5. Step 5: Solve for x
    x = 120,790,518,744,676/5,107,770
  6. Step 6: Final answer
    x = 23,648,386.43

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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.