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Finding the Third Proportional to 4,849,531.88 and 8,082,227.63

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Solution

The third proportional to 4,849,531.88 and 8,082,227.63 is: 13,469,836.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849,531.88 : 8,082,227.63 = 8,082,227.63 : x
  2. Step 2: Convert to fraction form
    4,849,531.88/8,082,227.63 = 8,082,227.63/x
  3. Step 3: Cross multiply
    4,849,531.88x = 8,082,227.63 × 8,082,227.63
  4. Step 4: Simplify right side
    4,849,531.88x = 65,322,403,382,313.14
  5. Step 5: Solve for x
    x = 65,322,403,382,313.14/4,849,531.88
  6. Step 6: Final answer
    x = 13,469,836.90

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.