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Finding the Third Proportional to 395,384,019 and 823,493,731.50

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Solution

The third proportional to 395,384,019 and 823,493,731.50 is: 1,715,147,535.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,384,019 : 823,493,731.50 = 823,493,731.50 : x
  2. Step 2: Convert to fraction form
    395,384,019/823,493,731.50 = 823,493,731.50/x
  3. Step 3: Cross multiply
    395,384,019x = 823,493,731.50 × 823,493,731.50
  4. Step 4: Simplify right side
    395,384,019x = 678,141,925,819,794,048
  5. Step 5: Solve for x
    x = 678,141,925,819,794,048/395,384,019
  6. Step 6: Final answer
    x = 1,715,147,535.64

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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.