Finding the Third Proportional to 180,669,116,930 and 273,331,130,643
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Solution
The third proportional to 180,669,116,930 and 273,331,130,643 is: 413,517,862,089.99
Step by Step Solution
- Step 1: Write the proportion equation
180,669,116,930 : 273,331,130,643 = 273,331,130,643 : x - Step 2: Convert to fraction form
180,669,116,930/273,331,130,643 = 273,331,130,643/x - Step 3: Cross multiply
180,669,116,930x = 273,331,130,643 × 273,331,130,643 - Step 4: Simplify right side
180,669,116,930x = 74,709,906,978,580,729,954,304 - Step 5: Solve for x
x = 74,709,906,978,580,729,954,304/180,669,116,930 - Step 6: Final answer
x = 413,517,862,089.99
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.