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Finding the Third Proportional to 2,276,404,768 and 5,269,548,863.50

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Solution

The third proportional to 2,276,404,768 and 5,269,548,863.50 is: 12,198,245,942.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276,404,768 : 5,269,548,863.50 = 5,269,548,863.50 : x
  2. Step 2: Convert to fraction form
    2,276,404,768/5,269,548,863.50 = 5,269,548,863.50/x
  3. Step 3: Cross multiply
    2,276,404,768x = 5,269,548,863.50 × 5,269,548,863.50
  4. Step 4: Simplify right side
    2,276,404,768x = 27,768,145,224,814,141,440
  5. Step 5: Solve for x
    x = 27,768,145,224,814,141,440/2,276,404,768
  6. Step 6: Final answer
    x = 12,198,245,942.53

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.