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Finding the Third Proportional to 962,632,146 and 2,109,807,183

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Solution

The third proportional to 962,632,146 and 2,109,807,183 is: 4,624,078,229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,632,146 : 2,109,807,183 = 2,109,807,183 : x
  2. Step 2: Convert to fraction form
    962,632,146/2,109,807,183 = 2,109,807,183/x
  3. Step 3: Cross multiply
    962,632,146x = 2,109,807,183 × 2,109,807,183
  4. Step 4: Simplify right side
    962,632,146x = 4,451,286,349,438,395,392
  5. Step 5: Solve for x
    x = 4,451,286,349,438,395,392/962,632,146
  6. Step 6: Final answer
    x = 4,624,078,229.61

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Why These Related Problems?

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