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Finding the Third Proportional to 19,373,647,021 and 30,325,048,975

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Solution

The third proportional to 19,373,647,021 and 30,325,048,975 is: 47,466,984,111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,373,647,021 : 30,325,048,975 = 30,325,048,975 : x
  2. Step 2: Convert to fraction form
    19,373,647,021/30,325,048,975 = 30,325,048,975/x
  3. Step 3: Cross multiply
    19,373,647,021x = 30,325,048,975 × 30,325,048,975
  4. Step 4: Simplify right side
    19,373,647,021x = 919,608,595,336,148,549,632
  5. Step 5: Solve for x
    x = 919,608,595,336,148,549,632/19,373,647,021
  6. Step 6: Final answer
    x = 47,466,984,111.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.