Finding the Third Proportional to 438,763,212,045 and 617,875,288,542
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Solution
The third proportional to 438,763,212,045 and 617,875,288,542 is: 870,104,561,436.44
Step by Step Solution
- Step 1: Write the proportion equation
438,763,212,045 : 617,875,288,542 = 617,875,288,542 : x - Step 2: Convert to fraction form
438,763,212,045/617,875,288,542 = 617,875,288,542/x - Step 3: Cross multiply
438,763,212,045x = 617,875,288,542 × 617,875,288,542 - Step 4: Simplify right side
438,763,212,045x = 381,769,872,190,859,762,466,816 - Step 5: Solve for x
x = 381,769,872,190,859,762,466,816/438,763,212,045 - Step 6: Final answer
x = 870,104,561,436.44
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.