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