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Finding the Third Proportional to 853,671,180 and 1,903,629,027

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Solution

The third proportional to 853,671,180 and 1,903,629,027 is: 4,244,964,053.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,671,180 : 1,903,629,027 = 1,903,629,027 : x
  2. Step 2: Convert to fraction form
    853,671,180/1,903,629,027 = 1,903,629,027/x
  3. Step 3: Cross multiply
    853,671,180x = 1,903,629,027 × 1,903,629,027
  4. Step 4: Simplify right side
    853,671,180x = 3,623,803,472,436,966,912
  5. Step 5: Solve for x
    x = 3,623,803,472,436,966,912/853,671,180
  6. Step 6: Final answer
    x = 4,244,964,053.30

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.