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Finding the Third Proportional to 34,954,000 and 54,271,320

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Solution

The third proportional to 34,954,000 and 54,271,320 is: 84,264,352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,954,000 : 54,271,320 = 54,271,320 : x
  2. Step 2: Convert to fraction form
    34,954,000/54,271,320 = 54,271,320/x
  3. Step 3: Cross multiply
    34,954,000x = 54,271,320 × 54,271,320
  4. Step 4: Simplify right side
    34,954,000x = 2,945,376,174,542,400
  5. Step 5: Solve for x
    x = 2,945,376,174,542,400/34,954,000
  6. Step 6: Final answer
    x = 84,264,352.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.