Finding the Third Proportional to 30,682,327,499,208 and 66,765,980,623,472
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Solution
The third proportional to 30,682,327,499,208 and 66,765,980,623,472 is: 145,285,463,390,249.81
Step by Step Solution
- Step 1: Write the proportion equation
30,682,327,499,208 : 66,765,980,623,472 = 66,765,980,623,472 : x - Step 2: Convert to fraction form
30,682,327,499,208/66,765,980,623,472 = 66,765,980,623,472/x - Step 3: Cross multiply
30,682,327,499,208x = 66,765,980,623,472 × 66,765,980,623,472 - Step 4: Simplify right side
30,682,327,499,208x = 4,457,696,168,613,838,636,573,523,968 - Step 5: Solve for x
x = 4,457,696,168,613,838,636,573,523,968/30,682,327,499,208 - Step 6: Final answer
x = 145,285,463,390,249.81
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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.