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Finding the Third Proportional to 6,766,512 and 14,589,312

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Solution

The third proportional to 6,766,512 and 14,589,312 is: 31,456,092.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766,512 : 14,589,312 = 14,589,312 : x
  2. Step 2: Convert to fraction form
    6,766,512/14,589,312 = 14,589,312/x
  3. Step 3: Cross multiply
    6,766,512x = 14,589,312 × 14,589,312
  4. Step 4: Simplify right side
    6,766,512x = 212,848,024,633,344
  5. Step 5: Solve for x
    x = 212,848,024,633,344/6,766,512
  6. Step 6: Final answer
    x = 31,456,092.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.