Finding the Third Proportional to 76,430,941,684 and 113,983,612,163
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Solution
The third proportional to 76,430,941,684 and 113,983,612,163 is: 169,986,965,428.75
Step by Step Solution
- Step 1: Write the proportion equation
76,430,941,684 : 113,983,612,163 = 113,983,612,163 : x - Step 2: Convert to fraction form
76,430,941,684/113,983,612,163 = 113,983,612,163/x - Step 3: Cross multiply
76,430,941,684x = 113,983,612,163 × 113,983,612,163 - Step 4: Simplify right side
76,430,941,684x = 12,992,263,841,725,202,563,072 - Step 5: Solve for x
x = 12,992,263,841,725,202,563,072/76,430,941,684 - Step 6: Final answer
x = 169,986,965,428.75
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.