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Finding the Third Proportional to 2,198,323,855.75 and 4,741,011,759.50

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Solution

The third proportional to 2,198,323,855.75 and 4,741,011,759.50 is: 10,224,695,713.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198,323,855.75 : 4,741,011,759.50 = 4,741,011,759.50 : x
  2. Step 2: Convert to fraction form
    2,198,323,855.75/4,741,011,759.50 = 4,741,011,759.50/x
  3. Step 3: Cross multiply
    2,198,323,855.75x = 4,741,011,759.50 × 4,741,011,759.50
  4. Step 4: Simplify right side
    2,198,323,855.75x = 22,477,192,503,717,285,888
  5. Step 5: Solve for x
    x = 22,477,192,503,717,285,888/2,198,323,855.75
  6. Step 6: Final answer
    x = 10,224,695,713.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.