Finding the Third Proportional to 226,395,936,418 and 484,595,121,860
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Solution
The third proportional to 226,395,936,418 and 484,595,121,860 is: 1,037,264,342,487.72
Step by Step Solution
- Step 1: Write the proportion equation
226,395,936,418 : 484,595,121,860 = 484,595,121,860 : x - Step 2: Convert to fraction form
226,395,936,418/484,595,121,860 = 484,595,121,860/x - Step 3: Cross multiply
226,395,936,418x = 484,595,121,860 × 484,595,121,860 - Step 4: Simplify right side
226,395,936,418x = 234,832,432,130,508,248,317,952 - Step 5: Solve for x
x = 234,832,432,130,508,248,317,952/226,395,936,418 - Step 6: Final answer
x = 1,037,264,342,487.72
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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.