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Finding the Third Proportional to 7,647,969,102.75 and 16,458,200,019

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Solution

The third proportional to 7,647,969,102.75 and 16,458,200,019 is: 35,417,552,585.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647,969,102.75 : 16,458,200,019 = 16,458,200,019 : x
  2. Step 2: Convert to fraction form
    7,647,969,102.75/16,458,200,019 = 16,458,200,019/x
  3. Step 3: Cross multiply
    7,647,969,102.75x = 16,458,200,019 × 16,458,200,019
  4. Step 4: Simplify right side
    7,647,969,102.75x = 270,872,347,865,411,584,000
  5. Step 5: Solve for x
    x = 270,872,347,865,411,584,000/7,647,969,102.75
  6. Step 6: Final answer
    x = 35,417,552,585.04

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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.