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Finding the Third Proportional to 752,814,258 and 1,630,694,292

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Solution

The third proportional to 752,814,258 and 1,630,694,292 is: 3,532,297,436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,814,258 : 1,630,694,292 = 1,630,694,292 : x
  2. Step 2: Convert to fraction form
    752,814,258/1,630,694,292 = 1,630,694,292/x
  3. Step 3: Cross multiply
    752,814,258x = 1,630,694,292 × 1,630,694,292
  4. Step 4: Simplify right side
    752,814,258x = 2,659,163,873,961,381,376
  5. Step 5: Solve for x
    x = 2,659,163,873,961,381,376/752,814,258
  6. Step 6: Final answer
    x = 3,532,297,436.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.