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Finding the Third Proportional to 418,959,732,864 and 919,032,228,096

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Solution

The third proportional to 418,959,732,864 and 919,032,228,096 is: 2,015,993,829,538.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,959,732,864 : 919,032,228,096 = 919,032,228,096 : x
  2. Step 2: Convert to fraction form
    418,959,732,864/919,032,228,096 = 919,032,228,096/x
  3. Step 3: Cross multiply
    418,959,732,864x = 919,032,228,096 × 919,032,228,096
  4. Step 4: Simplify right side
    418,959,732,864x = 844,620,236,279,098,170,671,104
  5. Step 5: Solve for x
    x = 844,620,236,279,098,170,671,104/418,959,732,864
  6. Step 6: Final answer
    x = 2,015,993,829,538.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.