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Finding the Third Proportional to 284,244,899,965 and 632,042,902,641

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Solution

The third proportional to 284,244,899,965 and 632,042,902,641 is: 1,405,401,577,400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,244,899,965 : 632,042,902,641 = 632,042,902,641 : x
  2. Step 2: Convert to fraction form
    284,244,899,965/632,042,902,641 = 632,042,902,641/x
  3. Step 3: Cross multiply
    284,244,899,965x = 632,042,902,641 × 632,042,902,641
  4. Step 4: Simplify right side
    284,244,899,965x = 399,478,230,778,860,602,916,864
  5. Step 5: Solve for x
    x = 399,478,230,778,860,602,916,864/284,244,899,965
  6. Step 6: Final answer
    x = 1,405,401,577,400.51

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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.