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Finding the Third Proportional to 6,306,760 and 9,743,838

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Solution

The third proportional to 6,306,760 and 9,743,838 is: 15,054,065.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306,760 : 9,743,838 = 9,743,838 : x
  2. Step 2: Convert to fraction form
    6,306,760/9,743,838 = 9,743,838/x
  3. Step 3: Cross multiply
    6,306,760x = 9,743,838 × 9,743,838
  4. Step 4: Simplify right side
    6,306,760x = 94,942,378,970,244
  5. Step 5: Solve for x
    x = 94,942,378,970,244/6,306,760
  6. Step 6: Final answer
    x = 15,054,065.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.