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Finding the Third Proportional to 801,298,633.50 and 1,765,619,100

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Solution

The third proportional to 801,298,633.50 and 1,765,619,100 is: 3,890,448,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,298,633.50 : 1,765,619,100 = 1,765,619,100 : x
  2. Step 2: Convert to fraction form
    801,298,633.50/1,765,619,100 = 1,765,619,100/x
  3. Step 3: Cross multiply
    801,298,633.50x = 1,765,619,100 × 1,765,619,100
  4. Step 4: Simplify right side
    801,298,633.50x = 3,117,410,806,284,810,240
  5. Step 5: Solve for x
    x = 3,117,410,806,284,810,240/801,298,633.50
  6. Step 6: Final answer
    x = 3,890,448,174.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.