Finding the Third Proportional to 102,569,817,664 and 222,796,447,040
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Solution
The third proportional to 102,569,817,664 and 222,796,447,040 is: 483,946,037,383.56
Step by Step Solution
- Step 1: Write the proportion equation
102,569,817,664 : 222,796,447,040 = 222,796,447,040 : x - Step 2: Convert to fraction form
102,569,817,664/222,796,447,040 = 222,796,447,040/x - Step 3: Cross multiply
102,569,817,664x = 222,796,447,040 × 222,796,447,040 - Step 4: Simplify right side
102,569,817,664x = 49,638,256,813,647,524,265,984 - Step 5: Solve for x
x = 49,638,256,813,647,524,265,984/102,569,817,664 - Step 6: Final answer
x = 483,946,037,383.56
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.