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Finding the Third Proportional to 6,071,265 and 9,231,215

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Solution

The third proportional to 6,071,265 and 9,231,215 is: 14,035,844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071,265 : 9,231,215 = 9,231,215 : x
  2. Step 2: Convert to fraction form
    6,071,265/9,231,215 = 9,231,215/x
  3. Step 3: Cross multiply
    6,071,265x = 9,231,215 × 9,231,215
  4. Step 4: Simplify right side
    6,071,265x = 85,215,330,376,225
  5. Step 5: Solve for x
    x = 85,215,330,376,225/6,071,265
  6. Step 6: Final answer
    x = 14,035,844.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.