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Finding the Third Proportional to 2,269,206,192 and 4,968,879,648

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Solution

The third proportional to 2,269,206,192 and 4,968,879,648 is: 10,880,353,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269,206,192 : 4,968,879,648 = 4,968,879,648 : x
  2. Step 2: Convert to fraction form
    2,269,206,192/4,968,879,648 = 4,968,879,648/x
  3. Step 3: Cross multiply
    2,269,206,192x = 4,968,879,648 × 4,968,879,648
  4. Step 4: Simplify right side
    2,269,206,192x = 24,689,764,956,308,602,880
  5. Step 5: Solve for x
    x = 24,689,764,956,308,602,880/2,269,206,192
  6. Step 6: Final answer
    x = 10,880,353,245.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.