Finding the Third Proportional to 430,530,942,876 and 922,471,245,572
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Solution
The third proportional to 430,530,942,876 and 922,471,245,572 is: 1,976,520,417,377.40
Step by Step Solution
- Step 1: Write the proportion equation
430,530,942,876 : 922,471,245,572 = 922,471,245,572 : x - Step 2: Convert to fraction form
430,530,942,876/922,471,245,572 = 922,471,245,572/x - Step 3: Cross multiply
430,530,942,876x = 922,471,245,572 × 922,471,245,572 - Step 4: Simplify right side
430,530,942,876x = 850,953,198,907,157,154,627,584 - Step 5: Solve for x
x = 850,953,198,907,157,154,627,584/430,530,942,876 - Step 6: Final answer
x = 1,976,520,417,377.40
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.