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Finding the Third Proportional to 681,201,654.75 and 1,491,366,244.50

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Solution

The third proportional to 681,201,654.75 and 1,491,366,244.50 is: 3,265,073,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,201,654.75 : 1,491,366,244.50 = 1,491,366,244.50 : x
  2. Step 2: Convert to fraction form
    681,201,654.75/1,491,366,244.50 = 1,491,366,244.50/x
  3. Step 3: Cross multiply
    681,201,654.75x = 1,491,366,244.50 × 1,491,366,244.50
  4. Step 4: Simplify right side
    681,201,654.75x = 2,224,173,275,234,033,664
  5. Step 5: Solve for x
    x = 2,224,173,275,234,033,664/681,201,654.75
  6. Step 6: Final answer
    x = 3,265,073,212.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.