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Finding the Third Proportional to 6,491,319.75 and 10,278,672.19

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Solution

The third proportional to 6,491,319.75 and 10,278,672.19 is: 16,275,750.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491,319.75 : 10,278,672.19 = 10,278,672.19 : x
  2. Step 2: Convert to fraction form
    6,491,319.75/10,278,672.19 = 10,278,672.19/x
  3. Step 3: Cross multiply
    6,491,319.75x = 10,278,672.19 × 10,278,672.19
  4. Step 4: Simplify right side
    6,491,319.75x = 105,651,101,938,086.03
  5. Step 5: Solve for x
    x = 105,651,101,938,086.03/6,491,319.75
  6. Step 6: Final answer
    x = 16,275,750.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.