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Finding the Third Proportional to 395,384,014.06 and 823,493,722.69

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Solution

The third proportional to 395,384,014.06 and 823,493,722.69 is: 1,715,147,520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,384,014.06 : 823,493,722.69 = 823,493,722.69 : x
  2. Step 2: Convert to fraction form
    395,384,014.06/823,493,722.69 = 823,493,722.69/x
  3. Step 3: Cross multiply
    395,384,014.06x = 823,493,722.69 × 823,493,722.69
  4. Step 4: Simplify right side
    395,384,014.06x = 678,141,911,305,717,120
  5. Step 5: Solve for x
    x = 678,141,911,305,717,120/395,384,014.06
  6. Step 6: Final answer
    x = 1,715,147,520.35

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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.