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Finding the Third Proportional to 4,253,694.75 and 6,538,222.13

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Solution

The third proportional to 4,253,694.75 and 6,538,222.13 is: 10,049,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253,694.75 : 6,538,222.13 = 6,538,222.13 : x
  2. Step 2: Convert to fraction form
    4,253,694.75/6,538,222.13 = 6,538,222.13/x
  3. Step 3: Cross multiply
    4,253,694.75x = 6,538,222.13 × 6,538,222.13
  4. Step 4: Simplify right side
    4,253,694.75x = 42,748,348,555,839.52
  5. Step 5: Solve for x
    x = 42,748,348,555,839.52/4,253,694.75
  6. Step 6: Final answer
    x = 10,049,698.22

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