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Finding the Third Proportional to 8,629,644 and 14,381,019

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Solution

The third proportional to 8,629,644 and 14,381,019 is: 23,965,497.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,629,644 : 14,381,019 = 14,381,019 : x
  2. Step 2: Convert to fraction form
    8,629,644/14,381,019 = 14,381,019/x
  3. Step 3: Cross multiply
    8,629,644x = 14,381,019 × 14,381,019
  4. Step 4: Simplify right side
    8,629,644x = 206,813,707,478,361
  5. Step 5: Solve for x
    x = 206,813,707,478,361/8,629,644
  6. Step 6: Final answer
    x = 23,965,497.01

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.