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Finding the Third Proportional to 34,029,256 and 52,305,406

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Solution

The third proportional to 34,029,256 and 52,305,406 is: 80,397,158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,029,256 : 52,305,406 = 52,305,406 : x
  2. Step 2: Convert to fraction form
    34,029,256/52,305,406 = 52,305,406/x
  3. Step 3: Cross multiply
    34,029,256x = 52,305,406 × 52,305,406
  4. Step 4: Simplify right side
    34,029,256x = 2,735,855,496,824,836
  5. Step 5: Solve for x
    x = 2,735,855,496,824,836/34,029,256
  6. Step 6: Final answer
    x = 80,397,158.75

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Why These Related Problems?

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