Finding the Third Proportional to 204,413,063,372 and 447,295,546,411
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Solution
The third proportional to 204,413,063,372 and 447,295,546,411 is: 978,769,666,374.08
Step by Step Solution
- Step 1: Write the proportion equation
204,413,063,372 : 447,295,546,411 = 447,295,546,411 : x - Step 2: Convert to fraction form
204,413,063,372/447,295,546,411 = 447,295,546,411/x - Step 3: Cross multiply
204,413,063,372x = 447,295,546,411 × 447,295,546,411 - Step 4: Simplify right side
204,413,063,372x = 200,073,305,839,115,058,544,640 - Step 5: Solve for x
x = 200,073,305,839,115,058,544,640/204,413,063,372 - Step 6: Final answer
x = 978,769,666,374.08
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.