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Finding the Third Proportional to 34,029,284 and 52,305,441

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Solution

The third proportional to 34,029,284 and 52,305,441 is: 80,397,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,029,284 : 52,305,441 = 52,305,441 : x
  2. Step 2: Convert to fraction form
    34,029,284/52,305,441 = 52,305,441/x
  3. Step 3: Cross multiply
    34,029,284x = 52,305,441 × 52,305,441
  4. Step 4: Simplify right side
    34,029,284x = 2,735,859,158,204,481
  5. Step 5: Solve for x
    x = 2,735,859,158,204,481/34,029,284
  6. Step 6: Final answer
    x = 80,397,200.19

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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.