Finding the Third Proportional to 2,731,832,208,702 and 6,074,463,109,290
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Solution
The third proportional to 2,731,832,208,702 and 6,074,463,109,290 is: 13,507,089,472,254.72
Step by Step Solution
- Step 1: Write the proportion equation
2,731,832,208,702 : 6,074,463,109,290 = 6,074,463,109,290 : x - Step 2: Convert to fraction form
2,731,832,208,702/6,074,463,109,290 = 6,074,463,109,290/x - Step 3: Cross multiply
2,731,832,208,702x = 6,074,463,109,290 × 6,074,463,109,290 - Step 4: Simplify right side
2,731,832,208,702x = 36,899,102,066,125,135,534,882,816 - Step 5: Solve for x
x = 36,899,102,066,125,135,534,882,816/2,731,832,208,702 - Step 6: Final answer
x = 13,507,089,472,254.72
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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.