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Finding the Third Proportional to 6,694,071,088 and 14,593,451,660

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Solution

The third proportional to 6,694,071,088 and 14,593,451,660 is: 31,814,545,820.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694,071,088 : 14,593,451,660 = 14,593,451,660 : x
  2. Step 2: Convert to fraction form
    6,694,071,088/14,593,451,660 = 14,593,451,660/x
  3. Step 3: Cross multiply
    6,694,071,088x = 14,593,451,660 × 14,593,451,660
  4. Step 4: Simplify right side
    6,694,071,088x = 212,968,831,352,756,764,672
  5. Step 5: Solve for x
    x = 212,968,831,352,756,764,672/6,694,071,088
  6. Step 6: Final answer
    x = 31,814,545,820.19

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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.