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Finding the Third Proportional to 2,651,960.25 and 5,789,687.63

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Solution

The third proportional to 2,651,960.25 and 5,789,687.63 is: 12,639,888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651,960.25 : 5,789,687.63 = 5,789,687.63 : x
  2. Step 2: Convert to fraction form
    2,651,960.25/5,789,687.63 = 5,789,687.63/x
  3. Step 3: Cross multiply
    2,651,960.25x = 5,789,687.63 × 5,789,687.63
  4. Step 4: Simplify right side
    2,651,960.25x = 33,520,482,795,078.14
  5. Step 5: Solve for x
    x = 33,520,482,795,078.14/2,651,960.25
  6. Step 6: Final answer
    x = 12,639,888.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.