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Finding the Third Proportional to 752,393,187 and 1,162,137,874.50

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Solution

The third proportional to 752,393,187 and 1,162,137,874.50 is: 1,795,024,812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,393,187 : 1,162,137,874.50 = 1,162,137,874.50 : x
  2. Step 2: Convert to fraction form
    752,393,187/1,162,137,874.50 = 1,162,137,874.50/x
  3. Step 3: Cross multiply
    752,393,187x = 1,162,137,874.50 × 1,162,137,874.50
  4. Step 4: Simplify right side
    752,393,187x = 1,350,564,439,347,377,664
  5. Step 5: Solve for x
    x = 1,350,564,439,347,377,664/752,393,187
  6. Step 6: Final answer
    x = 1,795,024,812.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.