Finding the Third Proportional to 24,405,052,346,916 and 52,692,418,174,063
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Solution
The third proportional to 24,405,052,346,916 and 52,692,418,174,063 is: 113,767,055,016,425
Step by Step Solution
- Step 1: Write the proportion equation
24,405,052,346,916 : 52,692,418,174,063 = 52,692,418,174,063 : x - Step 2: Convert to fraction form
24,405,052,346,916/52,692,418,174,063 = 52,692,418,174,063/x - Step 3: Cross multiply
24,405,052,346,916x = 52,692,418,174,063 × 52,692,418,174,063 - Step 4: Simplify right side
24,405,052,346,916x = 2,776,490,933,030,324,775,411,515,392 - Step 5: Solve for x
x = 2,776,490,933,030,324,775,411,515,392/24,405,052,346,916 - Step 6: Final answer
x = 113,767,055,016,425
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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.