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Finding the Third Proportional to 413,615,087.44 and 892,593,778.78

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Solution

The third proportional to 413,615,087.44 and 892,593,778.78 is: 1,926,244,177.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,615,087.44 : 892,593,778.78 = 892,593,778.78 : x
  2. Step 2: Convert to fraction form
    413,615,087.44/892,593,778.78 = 892,593,778.78/x
  3. Step 3: Cross multiply
    413,615,087.44x = 892,593,778.78 × 892,593,778.78
  4. Step 4: Simplify right side
    413,615,087.44x = 796,723,653,918,991,104
  5. Step 5: Solve for x
    x = 796,723,653,918,991,104/413,615,087.44
  6. Step 6: Final answer
    x = 1,926,244,177.54

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1.5x scale

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.