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Finding the Third Proportional to 16,794,861,498 and 36,082,163,286

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Solution

The third proportional to 16,794,861,498 and 36,082,163,286 is: 77,519,097,585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,794,861,498 : 36,082,163,286 = 36,082,163,286 : x
  2. Step 2: Convert to fraction form
    16,794,861,498/36,082,163,286 = 36,082,163,286/x
  3. Step 3: Cross multiply
    16,794,861,498x = 36,082,163,286 × 36,082,163,286
  4. Step 4: Simplify right side
    16,794,861,498x = 1,301,922,507,397,566,300,160
  5. Step 5: Solve for x
    x = 1,301,922,507,397,566,300,160/16,794,861,498
  6. Step 6: Final answer
    x = 77,519,097,585.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.