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Finding the Third Proportional to 681,201,612 and 1,491,366,160

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Solution

The third proportional to 681,201,612 and 1,491,366,160 is: 3,265,073,047.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,201,612 : 1,491,366,160 = 1,491,366,160 : x
  2. Step 2: Convert to fraction form
    681,201,612/1,491,366,160 = 1,491,366,160/x
  3. Step 3: Cross multiply
    681,201,612x = 1,491,366,160 × 1,491,366,160
  4. Step 4: Simplify right side
    681,201,612x = 2,224,173,023,193,145,600
  5. Step 5: Solve for x
    x = 2,224,173,023,193,145,600/681,201,612
  6. Step 6: Final answer
    x = 3,265,073,047.41

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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.