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Finding the Third Proportional to 34,029,262 and 52,305,415

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Solution

The third proportional to 34,029,262 and 52,305,415 is: 80,397,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,029,262 : 52,305,415 = 52,305,415 : x
  2. Step 2: Convert to fraction form
    34,029,262/52,305,415 = 52,305,415/x
  3. Step 3: Cross multiply
    34,029,262x = 52,305,415 × 52,305,415
  4. Step 4: Simplify right side
    34,029,262x = 2,735,856,438,322,225
  5. Step 5: Solve for x
    x = 2,735,856,438,322,225/34,029,262
  6. Step 6: Final answer
    x = 80,397,172.24

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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.