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Finding the Third Proportional to 2,631,150,178 and 5,850,583,126

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Solution

The third proportional to 2,631,150,178 and 5,850,583,126 is: 13,009,262,337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631,150,178 : 5,850,583,126 = 5,850,583,126 : x
  2. Step 2: Convert to fraction form
    2,631,150,178/5,850,583,126 = 5,850,583,126/x
  3. Step 3: Cross multiply
    2,631,150,178x = 5,850,583,126 × 5,850,583,126
  4. Step 4: Simplify right side
    2,631,150,178x = 34,229,322,914,235,932,672
  5. Step 5: Solve for x
    x = 34,229,322,914,235,932,672/2,631,150,178
  6. Step 6: Final answer
    x = 13,009,262,337.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.