Finding the Third Proportional to 282,093,156 and 427,406,076
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Solution
The third proportional to 282,093,156 and 427,406,076 is: 647,573,150.63
Step by Step Solution
- Step 1: Write the proportion equation
282,093,156 : 427,406,076 = 427,406,076 : x - Step 2: Convert to fraction form
282,093,156/427,406,076 = 427,406,076/x - Step 3: Cross multiply
282,093,156x = 427,406,076 × 427,406,076 - Step 4: Simplify right side
282,093,156x = 182,675,953,801,717,760 - Step 5: Solve for x
x = 182,675,953,801,717,760/282,093,156 - Step 6: Final answer
x = 647,573,150.63
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.