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Finding the Third Proportional to 395,384,052 and 823,493,807.81

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Solution

The third proportional to 395,384,052 and 823,493,807.81 is: 1,715,147,710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,384,052 : 823,493,807.81 = 823,493,807.81 : x
  2. Step 2: Convert to fraction form
    395,384,052/823,493,807.81 = 823,493,807.81/x
  3. Step 3: Cross multiply
    395,384,052x = 823,493,807.81 × 823,493,807.81
  4. Step 4: Simplify right side
    395,384,052x = 678,142,051,505,530,624
  5. Step 5: Solve for x
    x = 678,142,051,505,530,624/395,384,052
  6. Step 6: Final answer
    x = 1,715,147,710.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.