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Finding the Third Proportional to 3,522,261 and 7,646,817

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Solution

The third proportional to 3,522,261 and 7,646,817 is: 16,601,214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522,261 : 7,646,817 = 7,646,817 : x
  2. Step 2: Convert to fraction form
    3,522,261/7,646,817 = 7,646,817/x
  3. Step 3: Cross multiply
    3,522,261x = 7,646,817 × 7,646,817
  4. Step 4: Simplify right side
    3,522,261x = 58,473,810,231,489
  5. Step 5: Solve for x
    x = 58,473,810,231,489/3,522,261
  6. Step 6: Final answer
    x = 16,601,214.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.