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Finding the Third Proportional to 34,002,176 and 51,102,916

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Solution

The third proportional to 34,002,176 and 51,102,916 is: 76,804,144.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,002,176 : 51,102,916 = 51,102,916 : x
  2. Step 2: Convert to fraction form
    34,002,176/51,102,916 = 51,102,916/x
  3. Step 3: Cross multiply
    34,002,176x = 51,102,916 × 51,102,916
  4. Step 4: Simplify right side
    34,002,176x = 2,611,508,023,703,056
  5. Step 5: Solve for x
    x = 2,611,508,023,703,056/34,002,176
  6. Step 6: Final answer
    x = 76,804,144.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.