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Finding the Third Proportional to 395,383,998.38 and 823,493,695.50

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Solution

The third proportional to 395,383,998.38 and 823,493,695.50 is: 1,715,147,475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,383,998.38 : 823,493,695.50 = 823,493,695.50 : x
  2. Step 2: Convert to fraction form
    395,383,998.38/823,493,695.50 = 823,493,695.50/x
  3. Step 3: Cross multiply
    395,383,998.38x = 823,493,695.50 × 823,493,695.50
  4. Step 4: Simplify right side
    395,383,998.38x = 678,141,866,528,246,784
  5. Step 5: Solve for x
    x = 678,141,866,528,246,784/395,383,998.38
  6. Step 6: Final answer
    x = 1,715,147,475.15

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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.