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Finding the Third Proportional to 1,644,250,200 and 3,836,716,308

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Solution

The third proportional to 1,644,250,200 and 3,836,716,308 is: 8,952,647,248.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,250,200 : 3,836,716,308 = 3,836,716,308 : x
  2. Step 2: Convert to fraction form
    1,644,250,200/3,836,716,308 = 3,836,716,308/x
  3. Step 3: Cross multiply
    1,644,250,200x = 3,836,716,308 × 3,836,716,308
  4. Step 4: Simplify right side
    1,644,250,200x = 14,720,392,028,073,150,464
  5. Step 5: Solve for x
    x = 14,720,392,028,073,150,464/1,644,250,200
  6. Step 6: Final answer
    x = 8,952,647,248.01

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.