Finding the Third Proportional to 265,492,221,378 and 583,939,980,831
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Solution
The third proportional to 265,492,221,378 and 583,939,980,831 is: 1,284,353,641,108.84
Step by Step Solution
- Step 1: Write the proportion equation
265,492,221,378 : 583,939,980,831 = 583,939,980,831 : x - Step 2: Convert to fraction form
265,492,221,378/583,939,980,831 = 583,939,980,831/x - Step 3: Cross multiply
265,492,221,378x = 583,939,980,831 × 583,939,980,831 - Step 4: Simplify right side
265,492,221,378x = 340,985,901,212,908,660,981,760 - Step 5: Solve for x
x = 340,985,901,212,908,660,981,760/265,492,221,378 - Step 6: Final answer
x = 1,284,353,641,108.84
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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.