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Finding the Third Proportional to 7,629,722 and 16,702,864

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Solution

The third proportional to 7,629,722 and 16,702,864 is: 36,565,639.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629,722 : 16,702,864 = 16,702,864 : x
  2. Step 2: Convert to fraction form
    7,629,722/16,702,864 = 16,702,864/x
  3. Step 3: Cross multiply
    7,629,722x = 16,702,864 × 16,702,864
  4. Step 4: Simplify right side
    7,629,722x = 278,985,665,802,496
  5. Step 5: Solve for x
    x = 278,985,665,802,496/7,629,722
  6. Step 6: Final answer
    x = 36,565,639.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.