Finding the Third Proportional to 5,374,370,210,100 and 11,844,208,256,574
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Solution
The third proportional to 5,374,370,210,100 and 11,844,208,256,574 is: 26,102,643,424,425.62
Step by Step Solution
- Step 1: Write the proportion equation
5,374,370,210,100 : 11,844,208,256,574 = 11,844,208,256,574 : x - Step 2: Convert to fraction form
5,374,370,210,100/11,844,208,256,574 = 11,844,208,256,574/x - Step 3: Cross multiply
5,374,370,210,100x = 11,844,208,256,574 × 11,844,208,256,574 - Step 4: Simplify right side
5,374,370,210,100x = 140,285,269,225,095,715,046,293,504 - Step 5: Solve for x
x = 140,285,269,225,095,715,046,293,504/5,374,370,210,100 - Step 6: Final answer
x = 26,102,643,424,425.62
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.