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Finding the Third Proportional to 752,393,178 and 1,162,137,862

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Solution

The third proportional to 752,393,178 and 1,162,137,862 is: 1,795,024,795.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,393,178 : 1,162,137,862 = 1,162,137,862 : x
  2. Step 2: Convert to fraction form
    752,393,178/1,162,137,862 = 1,162,137,862/x
  3. Step 3: Cross multiply
    752,393,178x = 1,162,137,862 × 1,162,137,862
  4. Step 4: Simplify right side
    752,393,178x = 1,350,564,410,293,931,008
  5. Step 5: Solve for x
    x = 1,350,564,410,293,931,008/752,393,178
  6. Step 6: Final answer
    x = 1,795,024,795.26

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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.