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Finding the Third Proportional to 34,789,755 and 68,701,361.50

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Solution

The third proportional to 34,789,755 and 68,701,361.50 is: 135,668,591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,789,755 : 68,701,361.50 = 68,701,361.50 : x
  2. Step 2: Convert to fraction form
    34,789,755/68,701,361.50 = 68,701,361.50/x
  3. Step 3: Cross multiply
    34,789,755x = 68,701,361.50 × 68,701,361.50
  4. Step 4: Simplify right side
    34,789,755x = 4,719,877,071,953,682
  5. Step 5: Solve for x
    x = 4,719,877,071,953,682/34,789,755
  6. Step 6: Final answer
    x = 135,668,591.86

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.