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Finding the Third Proportional to 3,393,997,029 and 5,236,270,884

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Solution

The third proportional to 3,393,997,029 and 5,236,270,884 is: 8,078,537,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393,997,029 : 5,236,270,884 = 5,236,270,884 : x
  2. Step 2: Convert to fraction form
    3,393,997,029/5,236,270,884 = 5,236,270,884/x
  3. Step 3: Cross multiply
    3,393,997,029x = 5,236,270,884 × 5,236,270,884
  4. Step 4: Simplify right side
    3,393,997,029x = 27,418,532,770,626,142,208
  5. Step 5: Solve for x
    x = 27,418,532,770,626,142,208/3,393,997,029
  6. Step 6: Final answer
    x = 8,078,537,646.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.