Finding the Third Proportional to 37,942,114,032 and 84,367,543,232.25
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Solution
The third proportional to 37,942,114,032 and 84,367,543,232.25 is: 187,598,464,994.40
Step by Step Solution
- Step 1: Write the proportion equation
37,942,114,032 : 84,367,543,232.25 = 84,367,543,232.25 : x - Step 2: Convert to fraction form
37,942,114,032/84,367,543,232.25 = 84,367,543,232.25/x - Step 3: Cross multiply
37,942,114,032x = 84,367,543,232.25 × 84,367,543,232.25 - Step 4: Simplify right side
37,942,114,032x = 7,117,882,351,045,572,558,848 - Step 5: Solve for x
x = 7,117,882,351,045,572,558,848/37,942,114,032 - Step 6: Final answer
x = 187,598,464,994.40
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.