Finding the Third Proportional to 49,943,889,004 and 117,858,638,746
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Solution
The third proportional to 49,943,889,004 and 117,858,638,746 is: 278,125,292,284.46
Step by Step Solution
- Step 1: Write the proportion equation
49,943,889,004 : 117,858,638,746 = 117,858,638,746 : x - Step 2: Convert to fraction form
49,943,889,004/117,858,638,746 = 117,858,638,746/x - Step 3: Cross multiply
49,943,889,004x = 117,858,638,746 × 117,858,638,746 - Step 4: Simplify right side
49,943,889,004x = 13,890,658,727,060,131,807,232 - Step 5: Solve for x
x = 13,890,658,727,060,131,807,232/49,943,889,004 - Step 6: Final answer
x = 278,125,292,284.46
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.