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Finding the Third Proportional to 27,722,745 and 43,096,002.75

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Solution

The third proportional to 27,722,745 and 43,096,002.75 is: 66,994,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722,745 : 43,096,002.75 = 43,096,002.75 : x
  2. Step 2: Convert to fraction form
    27,722,745/43,096,002.75 = 43,096,002.75/x
  3. Step 3: Cross multiply
    27,722,745x = 43,096,002.75 × 43,096,002.75
  4. Step 4: Simplify right side
    27,722,745x = 1,857,265,453,028,007.50
  5. Step 5: Solve for x
    x = 1,857,265,453,028,007.50/27,722,745
  6. Step 6: Final answer
    x = 66,994,284.04

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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.