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Finding the Third Proportional to 51,751,463,956 and 79,496,585,544

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Solution

The third proportional to 51,751,463,956 and 79,496,585,544 is: 122,116,489,661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,751,463,956 : 79,496,585,544 = 79,496,585,544 : x
  2. Step 2: Convert to fraction form
    51,751,463,956/79,496,585,544 = 79,496,585,544/x
  3. Step 3: Cross multiply
    51,751,463,956x = 79,496,585,544 × 79,496,585,544
  4. Step 4: Simplify right side
    51,751,463,956x = 6,319,707,113,154,510,061,568
  5. Step 5: Solve for x
    x = 6,319,707,113,154,510,061,568/51,751,463,956
  6. Step 6: Final answer
    x = 122,116,489,661.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.