Finding the Third Proportional to 12,278,796.75 and 26,735,977.13
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Solution
The third proportional to 12,278,796.75 and 26,735,977.13 is: 58,215,188.95
Step by Step Solution
- Step 1: Write the proportion equation
12,278,796.75 : 26,735,977.13 = 26,735,977.13 : x - Step 2: Convert to fraction form
12,278,796.75/26,735,977.13 = 26,735,977.13/x - Step 3: Cross multiply
12,278,796.75x = 26,735,977.13 × 26,735,977.13 - Step 4: Simplify right side
12,278,796.75x = 714,812,472,828,523.25 - Step 5: Solve for x
x = 714,812,472,828,523.25/12,278,796.75 - Step 6: Final answer
x = 58,215,188.95
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.