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Finding the Third Proportional to 404,873,265,561 and 843,257,652,204

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Solution

The third proportional to 404,873,265,561 and 843,257,652,204 is: 1,756,311,242,273.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,873,265,561 : 843,257,652,204 = 843,257,652,204 : x
  2. Step 2: Convert to fraction form
    404,873,265,561/843,257,652,204 = 843,257,652,204/x
  3. Step 3: Cross multiply
    404,873,265,561x = 843,257,652,204 × 843,257,652,204
  4. Step 4: Simplify right side
    404,873,265,561x = 711,083,468,000,602,257,096,704
  5. Step 5: Solve for x
    x = 711,083,468,000,602,257,096,704/404,873,265,561
  6. Step 6: Final answer
    x = 1,756,311,242,273.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.