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Finding the Third Proportional to 383,905,827 and 827,116,692

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Solution

The third proportional to 383,905,827 and 827,116,692 is: 1,782,004,788.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,905,827 : 827,116,692 = 827,116,692 : x
  2. Step 2: Convert to fraction form
    383,905,827/827,116,692 = 827,116,692/x
  3. Step 3: Cross multiply
    383,905,827x = 827,116,692 × 827,116,692
  4. Step 4: Simplify right side
    383,905,827x = 684,122,022,185,022,848
  5. Step 5: Solve for x
    x = 684,122,022,185,022,848/383,905,827
  6. Step 6: Final answer
    x = 1,782,004,788.86

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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.