Finding the Third Proportional to 76,617,903,404 and 179,013,993,791
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Solution
The third proportional to 76,617,903,404 and 179,013,993,791 is: 418,257,463,977.16
Step by Step Solution
- Step 1: Write the proportion equation
76,617,903,404 : 179,013,993,791 = 179,013,993,791 : x - Step 2: Convert to fraction form
76,617,903,404/179,013,993,791 = 179,013,993,791/x - Step 3: Cross multiply
76,617,903,404x = 179,013,993,791 × 179,013,993,791 - Step 4: Simplify right side
76,617,903,404x = 32,046,009,973,004,184,846,336 - Step 5: Solve for x
x = 32,046,009,973,004,184,846,336/76,617,903,404 - Step 6: Final answer
x = 418,257,463,977.16
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.