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Finding the Third Proportional to 752,754,832 and 1,620,846,752

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Solution

The third proportional to 752,754,832 and 1,620,846,752 is: 3,490,039,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,754,832 : 1,620,846,752 = 1,620,846,752 : x
  2. Step 2: Convert to fraction form
    752,754,832/1,620,846,752 = 1,620,846,752/x
  3. Step 3: Cross multiply
    752,754,832x = 1,620,846,752 × 1,620,846,752
  4. Step 4: Simplify right side
    752,754,832x = 2,627,144,193,468,949,504
  5. Step 5: Solve for x
    x = 2,627,144,193,468,949,504/752,754,832
  6. Step 6: Final answer
    x = 3,490,039,627.50

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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.