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Finding the Third Proportional to 18,467,380,398 and 37,448,637,240

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Solution

The third proportional to 18,467,380,398 and 37,448,637,240 is: 75,939,326,580.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,467,380,398 : 37,448,637,240 = 37,448,637,240 : x
  2. Step 2: Convert to fraction form
    18,467,380,398/37,448,637,240 = 37,448,637,240/x
  3. Step 3: Cross multiply
    18,467,380,398x = 37,448,637,240 × 37,448,637,240
  4. Step 4: Simplify right side
    18,467,380,398x = 1,402,400,431,133,114,761,216
  5. Step 5: Solve for x
    x = 1,402,400,431,133,114,761,216/18,467,380,398
  6. Step 6: Final answer
    x = 75,939,326,580.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.