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Finding the Third Proportional to 251,311,826,686 and 352,640,242,432

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Solution

The third proportional to 251,311,826,686 and 352,640,242,432 is: 494,824,068,657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,311,826,686 : 352,640,242,432 = 352,640,242,432 : x
  2. Step 2: Convert to fraction form
    251,311,826,686/352,640,242,432 = 352,640,242,432/x
  3. Step 3: Cross multiply
    251,311,826,686x = 352,640,242,432 × 352,640,242,432
  4. Step 4: Simplify right side
    251,311,826,686x = 124,355,140,582,499,726,393,344
  5. Step 5: Solve for x
    x = 124,355,140,582,499,726,393,344/251,311,826,686
  6. Step 6: Final answer
    x = 494,824,068,657.44

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.