Home / 189,397,033,815.37-412,135,583,564.24

Finding the Third Proportional to 189,397,033,815.37 and 412,135,583,564.24

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Solution

The third proportional to 189,397,033,815.37 and 412,135,583,564.24 is: 896,823,650,392.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,397,033,815.37 : 412,135,583,564.24 = 412,135,583,564.24 : x
  2. Step 2: Convert to fraction form
    189,397,033,815.37/412,135,583,564.24 = 412,135,583,564.24/x
  3. Step 3: Cross multiply
    189,397,033,815.37x = 412,135,583,564.24 × 412,135,583,564.24
  4. Step 4: Simplify right side
    189,397,033,815.37x = 169,855,739,239,836,650,831,872
  5. Step 5: Solve for x
    x = 169,855,739,239,836,650,831,872/189,397,033,815.37
  6. Step 6: Final answer
    x = 896,823,650,392.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.