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Finding the Third Proportional to 341,933,899.50 and 806,375,121.75

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Solution

The third proportional to 341,933,899.50 and 806,375,121.75 is: 1,901,656,542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,933,899.50 : 806,375,121.75 = 806,375,121.75 : x
  2. Step 2: Convert to fraction form
    341,933,899.50/806,375,121.75 = 806,375,121.75/x
  3. Step 3: Cross multiply
    341,933,899.50x = 806,375,121.75 × 806,375,121.75
  4. Step 4: Simplify right side
    341,933,899.50x = 650,240,836,977,327,360
  5. Step 5: Solve for x
    x = 650,240,836,977,327,360/341,933,899.50
  6. Step 6: Final answer
    x = 1,901,656,542.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.