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Finding the Third Proportional to 7,071,120 and 9,222,718

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Solution

The third proportional to 7,071,120 and 9,222,718 is: 12,029,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071,120 : 9,222,718 = 9,222,718 : x
  2. Step 2: Convert to fraction form
    7,071,120/9,222,718 = 9,222,718/x
  3. Step 3: Cross multiply
    7,071,120x = 9,222,718 × 9,222,718
  4. Step 4: Simplify right side
    7,071,120x = 85,058,527,307,524
  5. Step 5: Solve for x
    x = 85,058,527,307,524/7,071,120
  6. Step 6: Final answer
    x = 12,029,003.51

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.