Finding the Third Proportional to 8,135,017,448,972.10 and 17,564,139,391,350
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Solution
The third proportional to 8,135,017,448,972.10 and 17,564,139,391,350 is: 37,922,351,672,122.49
Step by Step Solution
- Step 1: Write the proportion equation
8,135,017,448,972.10 : 17,564,139,391,350 = 17,564,139,391,350 : x - Step 2: Convert to fraction form
8,135,017,448,972.10/17,564,139,391,350 = 17,564,139,391,350/x - Step 3: Cross multiply
8,135,017,448,972.10x = 17,564,139,391,350 × 17,564,139,391,350 - Step 4: Simplify right side
8,135,017,448,972.10x = 308,498,992,558,772,765,222,502,400 - Step 5: Solve for x
x = 308,498,992,558,772,765,222,502,400/8,135,017,448,972.10 - Step 6: Final answer
x = 37,922,351,672,122.49
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.