Finding the Third Proportional to 290,286,766,633 and 403,620,545,567
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Solution
The third proportional to 290,286,766,633 and 403,620,545,567 is: 561,202,106,087.61
Step by Step Solution
- Step 1: Write the proportion equation
290,286,766,633 : 403,620,545,567 = 403,620,545,567 : x - Step 2: Convert to fraction form
290,286,766,633/403,620,545,567 = 403,620,545,567/x - Step 3: Cross multiply
290,286,766,633x = 403,620,545,567 × 403,620,545,567 - Step 4: Simplify right side
290,286,766,633x = 162,909,544,803,802,707,656,704 - Step 5: Solve for x
x = 162,909,544,803,802,707,656,704/290,286,766,633 - Step 6: Final answer
x = 561,202,106,087.61
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Why These Related Problems?
These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.