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Finding the Third Proportional to 52,716,434,354 and 80,308,040,986

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Solution

The third proportional to 52,716,434,354 and 80,308,040,986 is: 122,341,002,877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,716,434,354 : 80,308,040,986 = 80,308,040,986 : x
  2. Step 2: Convert to fraction form
    52,716,434,354/80,308,040,986 = 80,308,040,986/x
  3. Step 3: Cross multiply
    52,716,434,354x = 80,308,040,986 × 80,308,040,986
  4. Step 4: Simplify right side
    52,716,434,354x = 6,449,381,447,009,056,063,488
  5. Step 5: Solve for x
    x = 6,449,381,447,009,056,063,488/52,716,434,354
  6. Step 6: Final answer
    x = 122,341,002,877.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.