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Finding the Third Proportional to 7,629,606 and 10,694,457

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Solution

The third proportional to 7,629,606 and 10,694,457 is: 14,990,474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629,606 : 10,694,457 = 10,694,457 : x
  2. Step 2: Convert to fraction form
    7,629,606/10,694,457 = 10,694,457/x
  3. Step 3: Cross multiply
    7,629,606x = 10,694,457 × 10,694,457
  4. Step 4: Simplify right side
    7,629,606x = 114,371,410,524,849
  5. Step 5: Solve for x
    x = 114,371,410,524,849/7,629,606
  6. Step 6: Final answer
    x = 14,990,474.02

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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.