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Finding the Third Proportional to 404,873,265,549 and 843,257,652,153

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Solution

The third proportional to 404,873,265,549 and 843,257,652,153 is: 1,756,311,242,112.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,873,265,549 : 843,257,652,153 = 843,257,652,153 : x
  2. Step 2: Convert to fraction form
    404,873,265,549/843,257,652,153 = 843,257,652,153/x
  3. Step 3: Cross multiply
    404,873,265,549x = 843,257,652,153 × 843,257,652,153
  4. Step 4: Simplify right side
    404,873,265,549x = 711,083,467,914,589,899,849,728
  5. Step 5: Solve for x
    x = 711,083,467,914,589,899,849,728/404,873,265,549
  6. Step 6: Final answer
    x = 1,756,311,242,112.70

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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.