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Finding the Third Proportional to 2,276,264,772 and 3,414,397,153

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Solution

The third proportional to 2,276,264,772 and 3,414,397,153 is: 5,121,595,722

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276,264,772 : 3,414,397,153 = 3,414,397,153 : x
  2. Step 2: Convert to fraction form
    2,276,264,772/3,414,397,153 = 3,414,397,153/x
  3. Step 3: Cross multiply
    2,276,264,772x = 3,414,397,153 × 3,414,397,153
  4. Step 4: Simplify right side
    2,276,264,772x = 11,658,107,918,414,505,984
  5. Step 5: Solve for x
    x = 11,658,107,918,414,505,984/2,276,264,772
  6. Step 6: Final answer
    x = 5,121,595,722

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.