Finding the Third Proportional to 251,694,178,792 and 539,289,322,736
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Solution
The third proportional to 251,694,178,792 and 539,289,322,736 is: 1,155,501,390,667.43
Step by Step Solution
- Step 1: Write the proportion equation
251,694,178,792 : 539,289,322,736 = 539,289,322,736 : x - Step 2: Convert to fraction form
251,694,178,792/539,289,322,736 = 539,289,322,736/x - Step 3: Cross multiply
251,694,178,792x = 539,289,322,736 × 539,289,322,736 - Step 4: Simplify right side
251,694,178,792x = 290,832,973,617,053,577,510,912 - Step 5: Solve for x
x = 290,832,973,617,053,577,510,912/251,694,178,792 - Step 6: Final answer
x = 1,155,501,390,667.43
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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.