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Finding the Third Proportional to 416,374,378 and 925,844,122

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Solution

The third proportional to 416,374,378 and 925,844,122 is: 2,058,693,770.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,374,378 : 925,844,122 = 925,844,122 : x
  2. Step 2: Convert to fraction form
    416,374,378/925,844,122 = 925,844,122/x
  3. Step 3: Cross multiply
    416,374,378x = 925,844,122 × 925,844,122
  4. Step 4: Simplify right side
    416,374,378x = 857,187,338,241,950,848
  5. Step 5: Solve for x
    x = 857,187,338,241,950,848/416,374,378
  6. Step 6: Final answer
    x = 2,058,693,770.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.