Finding the Third Proportional to 20,826,245,664 and 31,726,633,466.25
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Solution
The third proportional to 20,826,245,664 and 31,726,633,466.25 is: 48,332,248,036.51
Step by Step Solution
- Step 1: Write the proportion equation
20,826,245,664 : 31,726,633,466.25 = 31,726,633,466.25 : x - Step 2: Convert to fraction form
20,826,245,664/31,726,633,466.25 = 31,726,633,466.25/x - Step 3: Cross multiply
20,826,245,664x = 31,726,633,466.25 × 31,726,633,466.25 - Step 4: Simplify right side
20,826,245,664x = 1,006,579,271,101,774,430,208 - Step 5: Solve for x
x = 1,006,579,271,101,774,430,208/20,826,245,664 - Step 6: Final answer
x = 48,332,248,036.51
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.