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Finding the Third Proportional to 17,467,225,948 and 24,978,325,284

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Solution

The third proportional to 17,467,225,948 and 24,978,325,284 is: 35,719,279,973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,467,225,948 : 24,978,325,284 = 24,978,325,284 : x
  2. Step 2: Convert to fraction form
    17,467,225,948/24,978,325,284 = 24,978,325,284/x
  3. Step 3: Cross multiply
    17,467,225,948x = 24,978,325,284 × 24,978,325,284
  4. Step 4: Simplify right side
    17,467,225,948x = 623,916,733,993,313,632,256
  5. Step 5: Solve for x
    x = 623,916,733,993,313,632,256/17,467,225,948
  6. Step 6: Final answer
    x = 35,719,279,973.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.