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Finding the Third Proportional to 1,922,520,993.50 and 3,946,960,561

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Solution

The third proportional to 1,922,520,993.50 and 3,946,960,561 is: 8,103,161,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922,520,993.50 : 3,946,960,561 = 3,946,960,561 : x
  2. Step 2: Convert to fraction form
    1,922,520,993.50/3,946,960,561 = 3,946,960,561/x
  3. Step 3: Cross multiply
    1,922,520,993.50x = 3,946,960,561 × 3,946,960,561
  4. Step 4: Simplify right side
    1,922,520,993.50x = 15,578,497,670,089,435,136
  5. Step 5: Solve for x
    x = 15,578,497,670,089,435,136/1,922,520,993.50
  6. Step 6: Final answer
    x = 8,103,161,277.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.