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Finding the Third Proportional to 4,312,993,342 and 6,163,379,668

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Solution

The third proportional to 4,312,993,342 and 6,163,379,668 is: 8,807,629,856.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312,993,342 : 6,163,379,668 = 6,163,379,668 : x
  2. Step 2: Convert to fraction form
    4,312,993,342/6,163,379,668 = 6,163,379,668/x
  3. Step 3: Cross multiply
    4,312,993,342x = 6,163,379,668 × 6,163,379,668
  4. Step 4: Simplify right side
    4,312,993,342x = 37,987,248,931,915,792,384
  5. Step 5: Solve for x
    x = 37,987,248,931,915,792,384/4,312,993,342
  6. Step 6: Final answer
    x = 8,807,629,856.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.