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Finding the Third Proportional to 6,741,191.25 and 9,538,583.63

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Solution

The third proportional to 6,741,191.25 and 9,538,583.63 is: 13,496,810.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741,191.25 : 9,538,583.63 = 9,538,583.63 : x
  2. Step 2: Convert to fraction form
    6,741,191.25/9,538,583.63 = 9,538,583.63/x
  3. Step 3: Cross multiply
    6,741,191.25x = 9,538,583.63 × 9,538,583.63
  4. Step 4: Simplify right side
    6,741,191.25x = 90,984,577,571,118.14
  5. Step 5: Solve for x
    x = 90,984,577,571,118.14/6,741,191.25
  6. Step 6: Final answer
    x = 13,496,810.01

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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.