Finding the Third Proportional to 21,790,775,729,673 and 48,023,205,499,588
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Solution
The third proportional to 21,790,775,729,673 and 48,023,205,499,588 is: 105,835,069,621,464.42
Step by Step Solution
- Step 1: Write the proportion equation
21,790,775,729,673 : 48,023,205,499,588 = 48,023,205,499,588 : x - Step 2: Convert to fraction form
21,790,775,729,673/48,023,205,499,588 = 48,023,205,499,588/x - Step 3: Cross multiply
21,790,775,729,673x = 48,023,205,499,588 × 48,023,205,499,588 - Step 4: Simplify right side
21,790,775,729,673x = 2,306,228,266,455,659,151,529,869,312 - Step 5: Solve for x
x = 2,306,228,266,455,659,151,529,869,312/21,790,775,729,673 - Step 6: Final answer
x = 105,835,069,621,464.42
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.