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Finding the Third Proportional to 2,431,529,856 and 5,734,222,848

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Solution

The third proportional to 2,431,529,856 and 5,734,222,848 is: 13,522,890,368.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431,529,856 : 5,734,222,848 = 5,734,222,848 : x
  2. Step 2: Convert to fraction form
    2,431,529,856/5,734,222,848 = 5,734,222,848/x
  3. Step 3: Cross multiply
    2,431,529,856x = 5,734,222,848 × 5,734,222,848
  4. Step 4: Simplify right side
    2,431,529,856x = 32,881,311,670,525,231,104
  5. Step 5: Solve for x
    x = 32,881,311,670,525,231,104/2,431,529,856
  6. Step 6: Final answer
    x = 13,522,890,368.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.