Finding the Third Proportional to 182,647,075,610 and 279,429,574,719
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Solution
The third proportional to 182,647,075,610 and 279,429,574,719 is: 427,495,961,634.58
Step by Step Solution
- Step 1: Write the proportion equation
182,647,075,610 : 279,429,574,719 = 279,429,574,719 : x - Step 2: Convert to fraction form
182,647,075,610/279,429,574,719 = 279,429,574,719/x - Step 3: Cross multiply
182,647,075,610x = 279,429,574,719 × 279,429,574,719 - Step 4: Simplify right side
182,647,075,610x = 78,080,887,227,641,206,145,024 - Step 5: Solve for x
x = 78,080,887,227,641,206,145,024/182,647,075,610 - Step 6: Final answer
x = 427,495,961,634.58
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.