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Finding the Third Proportional to 34,029,296 and 52,305,472

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Solution

The third proportional to 34,029,296 and 52,305,472 is: 80,397,267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,029,296 : 52,305,472 = 52,305,472 : x
  2. Step 2: Convert to fraction form
    34,029,296/52,305,472 = 52,305,472/x
  3. Step 3: Cross multiply
    34,029,296x = 52,305,472 × 52,305,472
  4. Step 4: Simplify right side
    34,029,296x = 2,735,862,401,142,784
  5. Step 5: Solve for x
    x = 2,735,862,401,142,784/34,029,296
  6. Step 6: Final answer
    x = 80,397,267.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.