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Finding the Third Proportional to 752,523,975 and 1,620,370,638

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Solution

The third proportional to 752,523,975 and 1,620,370,638 is: 3,489,059,607.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,523,975 : 1,620,370,638 = 1,620,370,638 : x
  2. Step 2: Convert to fraction form
    752,523,975/1,620,370,638 = 1,620,370,638/x
  3. Step 3: Cross multiply
    752,523,975x = 1,620,370,638 × 1,620,370,638
  4. Step 4: Simplify right side
    752,523,975x = 2,625,601,004,492,527,104
  5. Step 5: Solve for x
    x = 2,625,601,004,492,527,104/752,523,975
  6. Step 6: Final answer
    x = 3,489,059,607.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.