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Finding the Third Proportional to 50,476,503,014 and 109,012,381,836

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Solution

The third proportional to 50,476,503,014 and 109,012,381,836 is: 235,430,322,704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,476,503,014 : 109,012,381,836 = 109,012,381,836 : x
  2. Step 2: Convert to fraction form
    50,476,503,014/109,012,381,836 = 109,012,381,836/x
  3. Step 3: Cross multiply
    50,476,503,014x = 109,012,381,836 × 109,012,381,836
  4. Step 4: Simplify right side
    50,476,503,014x = 11,883,699,393,557,862,285,312
  5. Step 5: Solve for x
    x = 11,883,699,393,557,862,285,312/50,476,503,014
  6. Step 6: Final answer
    x = 235,430,322,704.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.