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Finding the Third Proportional to 6,620,544 and 14,186,016

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Solution

The third proportional to 6,620,544 and 14,186,016 is: 30,396,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,620,544 : 14,186,016 = 14,186,016 : x
  2. Step 2: Convert to fraction form
    6,620,544/14,186,016 = 14,186,016/x
  3. Step 3: Cross multiply
    6,620,544x = 14,186,016 × 14,186,016
  4. Step 4: Simplify right side
    6,620,544x = 201,243,049,952,256
  5. Step 5: Solve for x
    x = 201,243,049,952,256/6,620,544
  6. Step 6: Final answer
    x = 30,396,754.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.