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Finding the Third Proportional to 6,605,380,609,300 and 13,399,105,462,324

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Solution

The third proportional to 6,605,380,609,300 and 13,399,105,462,324 is: 27,180,269,814,839.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605,380,609,300 : 13,399,105,462,324 = 13,399,105,462,324 : x
  2. Step 2: Convert to fraction form
    6,605,380,609,300/13,399,105,462,324 = 13,399,105,462,324/x
  3. Step 3: Cross multiply
    6,605,380,609,300x = 13,399,105,462,324 × 13,399,105,462,324
  4. Step 4: Simplify right side
    6,605,380,609,300x = 179,536,027,190,480,853,182,447,616
  5. Step 5: Solve for x
    x = 179,536,027,190,480,853,182,447,616/6,605,380,609,300
  6. Step 6: Final answer
    x = 27,180,269,814,839.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.