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Finding the Third Proportional to 4,192,517,340 and 8,973,983,736

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Solution

The third proportional to 4,192,517,340 and 8,973,983,736 is: 19,208,598,930.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192,517,340 : 8,973,983,736 = 8,973,983,736 : x
  2. Step 2: Convert to fraction form
    4,192,517,340/8,973,983,736 = 8,973,983,736/x
  3. Step 3: Cross multiply
    4,192,517,340x = 8,973,983,736 × 8,973,983,736
  4. Step 4: Simplify right side
    4,192,517,340x = 80,532,384,093,992,517,632
  5. Step 5: Solve for x
    x = 80,532,384,093,992,517,632/4,192,517,340
  6. Step 6: Final answer
    x = 19,208,598,930.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.