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Finding the Third Proportional to 324,705,912,194 and 496,763,688,387

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Solution

The third proportional to 324,705,912,194 and 496,763,688,387 is: 759,992,820,680.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,705,912,194 : 496,763,688,387 = 496,763,688,387 : x
  2. Step 2: Convert to fraction form
    324,705,912,194/496,763,688,387 = 496,763,688,387/x
  3. Step 3: Cross multiply
    324,705,912,194x = 496,763,688,387 × 496,763,688,387
  4. Step 4: Simplify right side
    324,705,912,194x = 246,774,162,099,856,451,043,328
  5. Step 5: Solve for x
    x = 246,774,162,099,856,451,043,328/324,705,912,194
  6. Step 6: Final answer
    x = 759,992,820,680.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.