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Finding the Third Proportional to 681,201,732 and 1,491,366,336

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Solution

The third proportional to 681,201,732 and 1,491,366,336 is: 3,265,073,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,201,732 : 1,491,366,336 = 1,491,366,336 : x
  2. Step 2: Convert to fraction form
    681,201,732/1,491,366,336 = 1,491,366,336/x
  3. Step 3: Cross multiply
    681,201,732x = 1,491,366,336 × 1,491,366,336
  4. Step 4: Simplify right side
    681,201,732x = 2,224,173,548,154,064,896
  5. Step 5: Solve for x
    x = 2,224,173,548,154,064,896/681,201,732
  6. Step 6: Final answer
    x = 3,265,073,242.88

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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.