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Finding the Third Proportional to 284,244,899,967 and 632,042,902,645

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Solution

The third proportional to 284,244,899,967 and 632,042,902,645 is: 1,405,401,577,408.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,244,899,967 : 632,042,902,645 = 632,042,902,645 : x
  2. Step 2: Convert to fraction form
    284,244,899,967/632,042,902,645 = 632,042,902,645/x
  3. Step 3: Cross multiply
    284,244,899,967x = 632,042,902,645 × 632,042,902,645
  4. Step 4: Simplify right side
    284,244,899,967x = 399,478,230,783,916,920,274,944
  5. Step 5: Solve for x
    x = 399,478,230,783,916,920,274,944/284,244,899,967
  6. Step 6: Final answer
    x = 1,405,401,577,408.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.