Finding the Third Proportional to 37,656,930,048 and 81,933,014,799
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Solution
The third proportional to 37,656,930,048 and 81,933,014,799 is: 178,267,822,297.15
Step by Step Solution
- Step 1: Write the proportion equation
37,656,930,048 : 81,933,014,799 = 81,933,014,799 : x - Step 2: Convert to fraction form
37,656,930,048/81,933,014,799 = 81,933,014,799/x - Step 3: Cross multiply
37,656,930,048x = 81,933,014,799 × 81,933,014,799 - Step 4: Simplify right side
37,656,930,048x = 6,713,018,914,053,152,571,392 - Step 5: Solve for x
x = 6,713,018,914,053,152,571,392/37,656,930,048 - Step 6: Final answer
x = 178,267,822,297.15
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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.