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Finding the Third Proportional to 384,332,158,520 and 826,504,985,325

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Solution

The third proportional to 384,332,158,520 and 826,504,985,325 is: 1,777,396,128,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,332,158,520 : 826,504,985,325 = 826,504,985,325 : x
  2. Step 2: Convert to fraction form
    384,332,158,520/826,504,985,325 = 826,504,985,325/x
  3. Step 3: Cross multiply
    384,332,158,520x = 826,504,985,325 × 826,504,985,325
  4. Step 4: Simplify right side
    384,332,158,520x = 683,110,490,767,078,511,869,952
  5. Step 5: Solve for x
    x = 683,110,490,767,078,511,869,952/384,332,158,520
  6. Step 6: Final answer
    x = 1,777,396,128,904.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.