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Finding the Third Proportional to 2,263,189,255 and 4,947,113,245

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Solution

The third proportional to 2,263,189,255 and 4,947,113,245 is: 10,813,912,007.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263,189,255 : 4,947,113,245 = 4,947,113,245 : x
  2. Step 2: Convert to fraction form
    2,263,189,255/4,947,113,245 = 4,947,113,245/x
  3. Step 3: Cross multiply
    2,263,189,255x = 4,947,113,245 × 4,947,113,245
  4. Step 4: Simplify right side
    2,263,189,255x = 24,473,929,458,854,428,672
  5. Step 5: Solve for x
    x = 24,473,929,458,854,428,672/2,263,189,255
  6. Step 6: Final answer
    x = 10,813,912,007.04

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