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Finding the Third Proportional to 801,580,563 and 1,766,214,936

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Solution

The third proportional to 801,580,563 and 1,766,214,936 is: 3,891,705,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,580,563 : 1,766,214,936 = 1,766,214,936 : x
  2. Step 2: Convert to fraction form
    801,580,563/1,766,214,936 = 1,766,214,936/x
  3. Step 3: Cross multiply
    801,580,563x = 1,766,214,936 × 1,766,214,936
  4. Step 4: Simplify right side
    801,580,563x = 3,119,515,200,149,484,032
  5. Step 5: Solve for x
    x = 3,119,515,200,149,484,032/801,580,563
  6. Step 6: Final answer
    x = 3,891,705,143.74

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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.