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Finding the Third Proportional to 393,441,021.56 and 848,170,062.84

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Solution

The third proportional to 393,441,021.56 and 848,170,062.84 is: 1,828,463,266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,441,021.56 : 848,170,062.84 = 848,170,062.84 : x
  2. Step 2: Convert to fraction form
    393,441,021.56/848,170,062.84 = 848,170,062.84/x
  3. Step 3: Cross multiply
    393,441,021.56x = 848,170,062.84 × 848,170,062.84
  4. Step 4: Simplify right side
    393,441,021.56x = 719,392,455,504,370,816
  5. Step 5: Solve for x
    x = 719,392,455,504,370,816/393,441,021.56
  6. Step 6: Final answer
    x = 1,828,463,266.61

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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.