Finding the Third Proportional to 84,728,092,581 and 184,349,283,243.75
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Solution
The third proportional to 84,728,092,581 and 184,349,283,243.75 is: 401,102,600,061.43
Step by Step Solution
- Step 1: Write the proportion equation
84,728,092,581 : 184,349,283,243.75 = 184,349,283,243.75 : x - Step 2: Convert to fraction form
84,728,092,581/184,349,283,243.75 = 184,349,283,243.75/x - Step 3: Cross multiply
84,728,092,581x = 184,349,283,243.75 × 184,349,283,243.75 - Step 4: Simplify right side
84,728,092,581x = 33,984,658,232,484,365,860,864 - Step 5: Solve for x
x = 33,984,658,232,484,365,860,864/84,728,092,581 - Step 6: Final answer
x = 401,102,600,061.43
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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.