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Finding the Third Proportional to 15,911,496,873 and 34,647,934,824

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Solution

The third proportional to 15,911,496,873 and 34,647,934,824 is: 75,447,294,314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,911,496,873 : 34,647,934,824 = 34,647,934,824 : x
  2. Step 2: Convert to fraction form
    15,911,496,873/34,647,934,824 = 34,647,934,824/x
  3. Step 3: Cross multiply
    15,911,496,873x = 34,647,934,824 × 34,647,934,824
  4. Step 4: Simplify right side
    15,911,496,873x = 1,200,479,387,568,151,986,176
  5. Step 5: Solve for x
    x = 1,200,479,387,568,151,986,176/15,911,496,873
  6. Step 6: Final answer
    x = 75,447,294,314.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.