Finding the Third Proportional to 7,644,233,412 and 16,611,652,959.75
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Solution
The third proportional to 7,644,233,412 and 16,611,652,959.75 is: 36,098,716,402.61
Step by Step Solution
- Step 1: Write the proportion equation
7,644,233,412 : 16,611,652,959.75 = 16,611,652,959.75 : x - Step 2: Convert to fraction form
7,644,233,412/16,611,652,959.75 = 16,611,652,959.75/x - Step 3: Cross multiply
7,644,233,412x = 16,611,652,959.75 × 16,611,652,959.75 - Step 4: Simplify right side
7,644,233,412x = 275,947,014,055,170,932,736 - Step 5: Solve for x
x = 275,947,014,055,170,932,736/7,644,233,412 - Step 6: Final answer
x = 36,098,716,402.61
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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.