Finding the Third Proportional to 557,033,866,144 and 836,140,379,696
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Solution
The third proportional to 557,033,866,144 and 836,140,379,696 is: 1,255,095,564,292.74
Step by Step Solution
- Step 1: Write the proportion equation
557,033,866,144 : 836,140,379,696 = 836,140,379,696 : x - Step 2: Convert to fraction form
557,033,866,144/836,140,379,696 = 836,140,379,696/x - Step 3: Cross multiply
557,033,866,144x = 836,140,379,696 × 836,140,379,696 - Step 4: Simplify right side
557,033,866,144x = 699,130,734,558,170,983,694,336 - Step 5: Solve for x
x = 699,130,734,558,170,983,694,336/557,033,866,144 - Step 6: Final answer
x = 1,255,095,564,292.74
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.