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Finding the Third Proportional to 965,571,799.50 and 2,085,505,066.13

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Solution

The third proportional to 965,571,799.50 and 2,085,505,066.13 is: 4,504,410,115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,571,799.50 : 2,085,505,066.13 = 2,085,505,066.13 : x
  2. Step 2: Convert to fraction form
    965,571,799.50/2,085,505,066.13 = 2,085,505,066.13/x
  3. Step 3: Cross multiply
    965,571,799.50x = 2,085,505,066.13 × 2,085,505,066.13
  4. Step 4: Simplify right side
    965,571,799.50x = 4,349,331,380,833,040,384
  5. Step 5: Solve for x
    x = 4,349,331,380,833,040,384/965,571,799.50
  6. Step 6: Final answer
    x = 4,504,410,115.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.