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Finding the Third Proportional to 324,705,912,192 and 496,763,688,384

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Solution

The third proportional to 324,705,912,192 and 496,763,688,384 is: 759,992,820,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,705,912,192 : 496,763,688,384 = 496,763,688,384 : x
  2. Step 2: Convert to fraction form
    324,705,912,192/496,763,688,384 = 496,763,688,384/x
  3. Step 3: Cross multiply
    324,705,912,192x = 496,763,688,384 × 496,763,688,384
  4. Step 4: Simplify right side
    324,705,912,192x = 246,774,162,096,875,844,403,200
  5. Step 5: Solve for x
    x = 246,774,162,096,875,844,403,200/324,705,912,192
  6. Step 6: Final answer
    x = 759,992,820,675.71

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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.