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Finding the Third Proportional to 6,741,210 and 9,538,608

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Solution

The third proportional to 6,741,210 and 9,538,608 is: 13,496,841.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741,210 : 9,538,608 = 9,538,608 : x
  2. Step 2: Convert to fraction form
    6,741,210/9,538,608 = 9,538,608/x
  3. Step 3: Cross multiply
    6,741,210x = 9,538,608 × 9,538,608
  4. Step 4: Simplify right side
    6,741,210x = 90,985,042,577,664
  5. Step 5: Solve for x
    x = 90,985,042,577,664/6,741,210
  6. Step 6: Final answer
    x = 13,496,841.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.