Finding the Third Proportional to 21,075,016,776 and 45,823,213,770
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Solution
The third proportional to 21,075,016,776 and 45,823,213,770 is: 99,632,989,265.39
Step by Step Solution
- Step 1: Write the proportion equation
21,075,016,776 : 45,823,213,770 = 45,823,213,770 : x - Step 2: Convert to fraction form
21,075,016,776/45,823,213,770 = 45,823,213,770/x - Step 3: Cross multiply
21,075,016,776x = 45,823,213,770 × 45,823,213,770 - Step 4: Simplify right side
21,075,016,776x = 2,099,766,920,211,117,637,632 - Step 5: Solve for x
x = 2,099,766,920,211,117,637,632/21,075,016,776 - Step 6: Final answer
x = 99,632,989,265.39
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.