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Finding the Third Proportional to 34,512,284 and 54,942,438

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Solution

The third proportional to 34,512,284 and 54,942,438 is: 87,466,581.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,512,284 : 54,942,438 = 54,942,438 : x
  2. Step 2: Convert to fraction form
    34,512,284/54,942,438 = 54,942,438/x
  3. Step 3: Cross multiply
    34,512,284x = 54,942,438 × 54,942,438
  4. Step 4: Simplify right side
    34,512,284x = 3,018,671,493,383,844
  5. Step 5: Solve for x
    x = 3,018,671,493,383,844/34,512,284
  6. Step 6: Final answer
    x = 87,466,581.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.