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Finding the Third Proportional to 6,694,071,086 and 14,593,451,656

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Solution

The third proportional to 6,694,071,086 and 14,593,451,656 is: 31,814,545,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694,071,086 : 14,593,451,656 = 14,593,451,656 : x
  2. Step 2: Convert to fraction form
    6,694,071,086/14,593,451,656 = 14,593,451,656/x
  3. Step 3: Cross multiply
    6,694,071,086x = 14,593,451,656 × 14,593,451,656
  4. Step 4: Simplify right side
    6,694,071,086x = 212,968,831,236,009,132,032
  5. Step 5: Solve for x
    x = 212,968,831,236,009,132,032/6,694,071,086
  6. Step 6: Final answer
    x = 31,814,545,812.25

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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.