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Finding the Third Proportional to 6,978,524 and 10,534,125

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Solution

The third proportional to 6,978,524 and 10,534,125 is: 15,901,326.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978,524 : 10,534,125 = 10,534,125 : x
  2. Step 2: Convert to fraction form
    6,978,524/10,534,125 = 10,534,125/x
  3. Step 3: Cross multiply
    6,978,524x = 10,534,125 × 10,534,125
  4. Step 4: Simplify right side
    6,978,524x = 110,967,789,515,625
  5. Step 5: Solve for x
    x = 110,967,789,515,625/6,978,524
  6. Step 6: Final answer
    x = 15,901,326.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.