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Finding the Third Proportional to 8,381,840,640 and 13,968,892,512

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Solution

The third proportional to 8,381,840,640 and 13,968,892,512 is: 23,280,084,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381,840,640 : 13,968,892,512 = 13,968,892,512 : x
  2. Step 2: Convert to fraction form
    8,381,840,640/13,968,892,512 = 13,968,892,512/x
  3. Step 3: Cross multiply
    8,381,840,640x = 13,968,892,512 × 13,968,892,512
  4. Step 4: Simplify right side
    8,381,840,640x = 195,129,958,011,809,660,928
  5. Step 5: Solve for x
    x = 195,129,958,011,809,660,928/8,381,840,640
  6. Step 6: Final answer
    x = 23,280,084,457.89

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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.