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Finding the Third Proportional to 834,102,525 and 1,797,379,097

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Solution

The third proportional to 834,102,525 and 1,797,379,097 is: 3,873,110,944.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,102,525 : 1,797,379,097 = 1,797,379,097 : x
  2. Step 2: Convert to fraction form
    834,102,525/1,797,379,097 = 1,797,379,097/x
  3. Step 3: Cross multiply
    834,102,525x = 1,797,379,097 × 1,797,379,097
  4. Step 4: Simplify right side
    834,102,525x = 3,230,571,618,332,535,296
  5. Step 5: Solve for x
    x = 3,230,571,618,332,535,296/834,102,525
  6. Step 6: Final answer
    x = 3,873,110,944.40

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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.