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Finding the Third Proportional to 12,311,587,609.50 and 24,965,759,611.50

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Solution

The third proportional to 12,311,587,609.50 and 24,965,759,611.50 is: 50,626,220,821.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311,587,609.50 : 24,965,759,611.50 = 24,965,759,611.50 : x
  2. Step 2: Convert to fraction form
    12,311,587,609.50/24,965,759,611.50 = 24,965,759,611.50/x
  3. Step 3: Cross multiply
    12,311,587,609.50x = 24,965,759,611.50 × 24,965,759,611.50
  4. Step 4: Simplify right side
    12,311,587,609.50x = 623,289,152,979,204,571,136
  5. Step 5: Solve for x
    x = 623,289,152,979,204,571,136/12,311,587,609.50
  6. Step 6: Final answer
    x = 50,626,220,821.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.