Finding the Third Proportional to 31,586,267,990,265 and 68,780,030,510,298
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Solution
The third proportional to 31,586,267,990,265 and 68,780,030,510,298 is: 149,770,545,809,829.16
Step by Step Solution
- Step 1: Write the proportion equation
31,586,267,990,265 : 68,780,030,510,298 = 68,780,030,510,298 : x - Step 2: Convert to fraction form
31,586,267,990,265/68,780,030,510,298 = 68,780,030,510,298/x - Step 3: Cross multiply
31,586,267,990,265x = 68,780,030,510,298 × 68,780,030,510,298 - Step 4: Simplify right side
31,586,267,990,265x = 4,730,692,596,997,524,020,631,961,600 - Step 5: Solve for x
x = 4,730,692,596,997,524,020,631,961,600/31,586,267,990,265 - Step 6: Final answer
x = 149,770,545,809,829.16
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.