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Finding the Third Proportional to 50,476,503,012 and 109,012,381,832

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Solution

The third proportional to 50,476,503,012 and 109,012,381,832 is: 235,430,322,696.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,476,503,012 : 109,012,381,832 = 109,012,381,832 : x
  2. Step 2: Convert to fraction form
    50,476,503,012/109,012,381,832 = 109,012,381,832/x
  3. Step 3: Cross multiply
    50,476,503,012x = 109,012,381,832 × 109,012,381,832
  4. Step 4: Simplify right side
    50,476,503,012x = 11,883,699,392,685,763,723,264
  5. Step 5: Solve for x
    x = 11,883,699,392,685,763,723,264/50,476,503,012
  6. Step 6: Final answer
    x = 235,430,322,696.10

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Why These Related Problems?

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