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Finding the Third Proportional to 6,694,071,084 and 14,593,451,652

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Solution

The third proportional to 6,694,071,084 and 14,593,451,652 is: 31,814,545,804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694,071,084 : 14,593,451,652 = 14,593,451,652 : x
  2. Step 2: Convert to fraction form
    6,694,071,084/14,593,451,652 = 14,593,451,652/x
  3. Step 3: Cross multiply
    6,694,071,084x = 14,593,451,652 × 14,593,451,652
  4. Step 4: Simplify right side
    6,694,071,084x = 212,968,831,119,261,532,160
  5. Step 5: Solve for x
    x = 212,968,831,119,261,532,160/6,694,071,084
  6. Step 6: Final answer
    x = 31,814,545,804.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.