Finding the Third Proportional to 8,523,838,995,766 and 17,499,551,528,204
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Solution
The third proportional to 8,523,838,995,766 and 17,499,551,528,204 is: 35,926,805,262,321.48
Step by Step Solution
- Step 1: Write the proportion equation
8,523,838,995,766 : 17,499,551,528,204 = 17,499,551,528,204 : x - Step 2: Convert to fraction form
8,523,838,995,766/17,499,551,528,204 = 17,499,551,528,204/x - Step 3: Cross multiply
8,523,838,995,766x = 17,499,551,528,204 × 17,499,551,528,204 - Step 4: Simplify right side
8,523,838,995,766x = 306,234,303,688,266,949,848,989,696 - Step 5: Solve for x
x = 306,234,303,688,266,949,848,989,696/8,523,838,995,766 - Step 6: Final answer
x = 35,926,805,262,321.48
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.