Finding the Third Proportional to 71,573,191,493 and 106,739,112,967.50
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Solution
The third proportional to 71,573,191,493 and 106,739,112,967.50 is: 159,183,040,457.31
Step by Step Solution
- Step 1: Write the proportion equation
71,573,191,493 : 106,739,112,967.50 = 106,739,112,967.50 : x - Step 2: Convert to fraction form
71,573,191,493/106,739,112,967.50 = 106,739,112,967.50/x - Step 3: Cross multiply
71,573,191,493x = 106,739,112,967.50 × 106,739,112,967.50 - Step 4: Simplify right side
71,573,191,493x = 11,393,238,237,088,726,384,640 - Step 5: Solve for x
x = 11,393,238,237,088,726,384,640/71,573,191,493 - Step 6: Final answer
x = 159,183,040,457.31
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.