Finding the Third Proportional to 226,395,936,420 and 484,595,121,864
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Solution
The third proportional to 226,395,936,420 and 484,595,121,864 is: 1,037,264,342,495.68
Step by Step Solution
- Step 1: Write the proportion equation
226,395,936,420 : 484,595,121,864 = 484,595,121,864 : x - Step 2: Convert to fraction form
226,395,936,420/484,595,121,864 = 484,595,121,864/x - Step 3: Cross multiply
226,395,936,420x = 484,595,121,864 × 484,595,121,864 - Step 4: Simplify right side
226,395,936,420x = 234,832,432,134,385,026,727,936 - Step 5: Solve for x
x = 234,832,432,134,385,026,727,936/226,395,936,420 - Step 6: Final answer
x = 1,037,264,342,495.68
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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.