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Finding the Third Proportional to 8,381,840,478 and 13,968,892,269

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Solution

The third proportional to 8,381,840,478 and 13,968,892,269 is: 23,280,084,097.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381,840,478 : 13,968,892,269 = 13,968,892,269 : x
  2. Step 2: Convert to fraction form
    8,381,840,478/13,968,892,269 = 13,968,892,269/x
  3. Step 3: Cross multiply
    8,381,840,478x = 13,968,892,269 × 13,968,892,269
  4. Step 4: Simplify right side
    8,381,840,478x = 195,129,951,222,927,982,592
  5. Step 5: Solve for x
    x = 195,129,951,222,927,982,592/8,381,840,478
  6. Step 6: Final answer
    x = 23,280,084,097.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.