Finding the Third Proportional to 226,395,936,414 and 484,595,121,850.48
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Solution
The third proportional to 226,395,936,414 and 484,595,121,850.48 is: 1,037,264,342,465.29
Step by Step Solution
- Step 1: Write the proportion equation
226,395,936,414 : 484,595,121,850.48 = 484,595,121,850.48 : x - Step 2: Convert to fraction form
226,395,936,414/484,595,121,850.48 = 484,595,121,850.48/x - Step 3: Cross multiply
226,395,936,414x = 484,595,121,850.48 × 484,595,121,850.48 - Step 4: Simplify right side
226,395,936,414x = 234,832,432,121,281,551,269,888 - Step 5: Solve for x
x = 234,832,432,121,281,551,269,888/226,395,936,414 - Step 6: Final answer
x = 1,037,264,342,465.29
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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.