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Finding the Third Proportional to 284,244,899,960.82 and 632,042,902,632.93

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Solution

The third proportional to 284,244,899,960.82 and 632,042,902,632.93 is: 1,405,401,577,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,244,899,960.82 : 632,042,902,632.93 = 632,042,902,632.93 : x
  2. Step 2: Convert to fraction form
    284,244,899,960.82/632,042,902,632.93 = 632,042,902,632.93/x
  3. Step 3: Cross multiply
    284,244,899,960.82x = 632,042,902,632.93 × 632,042,902,632.93
  4. Step 4: Simplify right side
    284,244,899,960.82x = 399,478,230,768,659,518,717,952
  5. Step 5: Solve for x
    x = 399,478,230,768,659,518,717,952/284,244,899,960.82
  6. Step 6: Final answer
    x = 1,405,401,577,385.29

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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.