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Finding the Third Proportional to 1,859,481,921 and 2,843,303,403

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Solution

The third proportional to 1,859,481,921 and 2,843,303,403 is: 4,347,648,745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859,481,921 : 2,843,303,403 = 2,843,303,403 : x
  2. Step 2: Convert to fraction form
    1,859,481,921/2,843,303,403 = 2,843,303,403/x
  3. Step 3: Cross multiply
    1,859,481,921x = 2,843,303,403 × 2,843,303,403
  4. Step 4: Simplify right side
    1,859,481,921x = 8,084,374,241,511,379,968
  5. Step 5: Solve for x
    x = 8,084,374,241,511,379,968/1,859,481,921
  6. Step 6: Final answer
    x = 4,347,648,745.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.