Finding the Third Proportional to 408,816,752,845 and 889,621,069,850
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Solution
The third proportional to 408,816,752,845 and 889,621,069,850 is: 1,935,893,386,005.94
Step by Step Solution
- Step 1: Write the proportion equation
408,816,752,845 : 889,621,069,850 = 889,621,069,850 : x - Step 2: Convert to fraction form
408,816,752,845/889,621,069,850 = 889,621,069,850/x - Step 3: Cross multiply
408,816,752,845x = 889,621,069,850 × 889,621,069,850 - Step 4: Simplify right side
408,816,752,845x = 791,425,647,921,058,570,829,824 - Step 5: Solve for x
x = 791,425,647,921,058,570,829,824/408,816,752,845 - Step 6: Final answer
x = 1,935,893,386,005.94
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.