Finding the Third Proportional to 39,965,693,151,312 and 53,923,104,025,992
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Solution
The third proportional to 39,965,693,151,312 and 53,923,104,025,992 is: 72,754,928,503,035.36
Step by Step Solution
- Step 1: Write the proportion equation
39,965,693,151,312 : 53,923,104,025,992 = 53,923,104,025,992 : x - Step 2: Convert to fraction form
39,965,693,151,312/53,923,104,025,992 = 53,923,104,025,992/x - Step 3: Cross multiply
39,965,693,151,312x = 53,923,104,025,992 × 53,923,104,025,992 - Step 4: Simplify right side
39,965,693,151,312x = 2,907,701,147,797,954,762,849,124,352 - Step 5: Solve for x
x = 2,907,701,147,797,954,762,849,124,352/39,965,693,151,312 - Step 6: Final answer
x = 72,754,928,503,035.36
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.