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Finding the Third Proportional to 2,950,512,409.44 and 6,019,546,641.31

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Solution

The third proportional to 2,950,512,409.44 and 6,019,546,641.31 is: 12,280,897,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950,512,409.44 : 6,019,546,641.31 = 6,019,546,641.31 : x
  2. Step 2: Convert to fraction form
    2,950,512,409.44/6,019,546,641.31 = 6,019,546,641.31/x
  3. Step 3: Cross multiply
    2,950,512,409.44x = 6,019,546,641.31 × 6,019,546,641.31
  4. Step 4: Simplify right side
    2,950,512,409.44x = 36,234,941,766,936,600,576
  5. Step 5: Solve for x
    x = 36,234,941,766,936,600,576/2,950,512,409.44
  6. Step 6: Final answer
    x = 12,280,897,938.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.