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Finding the Third Proportional to 6,629,061,234 and 14,361,491,301

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Solution

The third proportional to 6,629,061,234 and 14,361,491,301 is: 31,113,369,617.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,629,061,234 : 14,361,491,301 = 14,361,491,301 : x
  2. Step 2: Convert to fraction form
    6,629,061,234/14,361,491,301 = 14,361,491,301/x
  3. Step 3: Cross multiply
    6,629,061,234x = 14,361,491,301 × 14,361,491,301
  4. Step 4: Simplify right side
    6,629,061,234x = 206,252,432,388,698,669,056
  5. Step 5: Solve for x
    x = 206,252,432,388,698,669,056/6,629,061,234
  6. Step 6: Final answer
    x = 31,113,369,617.23

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.