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Finding the Third Proportional to 7,629,660 and 10,694,532

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Solution

The third proportional to 7,629,660 and 10,694,532 is: 14,990,578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629,660 : 10,694,532 = 10,694,532 : x
  2. Step 2: Convert to fraction form
    7,629,660/10,694,532 = 10,694,532/x
  3. Step 3: Cross multiply
    7,629,660x = 10,694,532 × 10,694,532
  4. Step 4: Simplify right side
    7,629,660x = 114,373,014,699,024
  5. Step 5: Solve for x
    x = 114,373,014,699,024/7,629,660
  6. Step 6: Final answer
    x = 14,990,578.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.