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Finding the Third Proportional to 17,467,225,980 and 24,978,325,326

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Solution

The third proportional to 17,467,225,980 and 24,978,325,326 is: 35,719,280,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,467,225,980 : 24,978,325,326 = 24,978,325,326 : x
  2. Step 2: Convert to fraction form
    17,467,225,980/24,978,325,326 = 24,978,325,326/x
  3. Step 3: Cross multiply
    17,467,225,980x = 24,978,325,326 × 24,978,325,326
  4. Step 4: Simplify right side
    17,467,225,980x = 623,916,736,091,492,974,592
  5. Step 5: Solve for x
    x = 623,916,736,091,492,974,592/17,467,225,980
  6. Step 6: Final answer
    x = 35,719,280,027.97

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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.