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Finding the Third Proportional to 2,125,252,682 and 3,333,592,269

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Solution

The third proportional to 2,125,252,682 and 3,333,592,269 is: 5,228,948,778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125,252,682 : 3,333,592,269 = 3,333,592,269 : x
  2. Step 2: Convert to fraction form
    2,125,252,682/3,333,592,269 = 3,333,592,269/x
  3. Step 3: Cross multiply
    2,125,252,682x = 3,333,592,269 × 3,333,592,269
  4. Step 4: Simplify right side
    2,125,252,682x = 11,112,837,415,936,569,344
  5. Step 5: Solve for x
    x = 11,112,837,415,936,569,344/2,125,252,682
  6. Step 6: Final answer
    x = 5,228,948,778.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.