Finding the Third Proportional to 536,825,370,998 and 833,523,728,886
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Solution
The third proportional to 536,825,370,998 and 833,523,728,886 is: 1,294,204,492,094.71
Step by Step Solution
- Step 1: Write the proportion equation
536,825,370,998 : 833,523,728,886 = 833,523,728,886 : x - Step 2: Convert to fraction form
536,825,370,998/833,523,728,886 = 833,523,728,886/x - Step 3: Cross multiply
536,825,370,998x = 833,523,728,886 × 833,523,728,886 - Step 4: Simplify right side
536,825,370,998x = 694,761,806,616,022,076,096,512 - Step 5: Solve for x
x = 694,761,806,616,022,076,096,512/536,825,370,998 - Step 6: Final answer
x = 1,294,204,492,094.71
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.