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Finding the Third Proportional to 17,667,965 and 38,172,705

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Solution

The third proportional to 17,667,965 and 38,172,705 is: 82,474,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667,965 : 38,172,705 = 38,172,705 : x
  2. Step 2: Convert to fraction form
    17,667,965/38,172,705 = 38,172,705/x
  3. Step 3: Cross multiply
    17,667,965x = 38,172,705 × 38,172,705
  4. Step 4: Simplify right side
    17,667,965x = 1,457,155,407,017,025
  5. Step 5: Solve for x
    x = 1,457,155,407,017,025/17,667,965
  6. Step 6: Final answer
    x = 82,474,433.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.