Finding the Third Proportional to 290,286,767,283 and 403,620,546,699
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Solution
The third proportional to 290,286,767,283 and 403,620,546,699 is: 561,202,107,978.90
Step by Step Solution
- Step 1: Write the proportion equation
290,286,767,283 : 403,620,546,699 = 403,620,546,699 : x - Step 2: Convert to fraction form
290,286,767,283/403,620,546,699 = 403,620,546,699/x - Step 3: Cross multiply
290,286,767,283x = 403,620,546,699 × 403,620,546,699 - Step 4: Simplify right side
290,286,767,283x = 162,909,545,717,599,647,563,776 - Step 5: Solve for x
x = 162,909,545,717,599,647,563,776/290,286,767,283 - Step 6: Final answer
x = 561,202,107,978.90
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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.