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Finding the Third Proportional to 34,841,414 and 54,166,755

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Solution

The third proportional to 34,841,414 and 54,166,755 is: 84,211,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,841,414 : 54,166,755 = 54,166,755 : x
  2. Step 2: Convert to fraction form
    34,841,414/54,166,755 = 54,166,755/x
  3. Step 3: Cross multiply
    34,841,414x = 54,166,755 × 54,166,755
  4. Step 4: Simplify right side
    34,841,414x = 2,934,037,347,230,025
  5. Step 5: Solve for x
    x = 2,934,037,347,230,025/34,841,414
  6. Step 6: Final answer
    x = 84,211,201.85

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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.