Finding the Third Proportional to 8,274,731,033,244 and 19,333,506,138,164
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Solution
The third proportional to 8,274,731,033,244 and 19,333,506,138,164 is: 45,171,795,686,498.31
Step by Step Solution
- Step 1: Write the proportion equation
8,274,731,033,244 : 19,333,506,138,164 = 19,333,506,138,164 : x - Step 2: Convert to fraction form
8,274,731,033,244/19,333,506,138,164 = 19,333,506,138,164/x - Step 3: Cross multiply
8,274,731,033,244x = 19,333,506,138,164 × 19,333,506,138,164 - Step 4: Simplify right side
8,274,731,033,244x = 373,784,459,594,425,043,588,743,168 - Step 5: Solve for x
x = 373,784,459,594,425,043,588,743,168/8,274,731,033,244 - Step 6: Final answer
x = 45,171,795,686,498.31
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.