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Finding the Third Proportional to 1,698,946,399,296 and 3,640,224,062,592

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Solution

The third proportional to 1,698,946,399,296 and 3,640,224,062,592 is: 7,799,675,864,621.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698,946,399,296 : 3,640,224,062,592 = 3,640,224,062,592 : x
  2. Step 2: Convert to fraction form
    1,698,946,399,296/3,640,224,062,592 = 3,640,224,062,592/x
  3. Step 3: Cross multiply
    1,698,946,399,296x = 3,640,224,062,592 × 3,640,224,062,592
  4. Step 4: Simplify right side
    1,698,946,399,296x = 13,251,231,225,873,805,432,848,384
  5. Step 5: Solve for x
    x = 13,251,231,225,873,805,432,848,384/1,698,946,399,296
  6. Step 6: Final answer
    x = 7,799,675,864,621.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.