Finding the Third Proportional to 30,682,327,499,210 and 66,765,980,623,476
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Solution
The third proportional to 30,682,327,499,210 and 66,765,980,623,476 is: 145,285,463,390,257.72
Step by Step Solution
- Step 1: Write the proportion equation
30,682,327,499,210 : 66,765,980,623,476 = 66,765,980,623,476 : x - Step 2: Convert to fraction form
30,682,327,499,210/66,765,980,623,476 = 66,765,980,623,476/x - Step 3: Cross multiply
30,682,327,499,210x = 66,765,980,623,476 × 66,765,980,623,476 - Step 4: Simplify right side
30,682,327,499,210x = 4,457,696,168,614,372,449,468,809,216 - Step 5: Solve for x
x = 4,457,696,168,614,372,449,468,809,216/30,682,327,499,210 - Step 6: Final answer
x = 145,285,463,390,257.72
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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.