Finding the Third Proportional to 313,003,516,228 and 687,497,472,296
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Solution
The third proportional to 313,003,516,228 and 687,497,472,296 is: 1,510,055,797,804.83
Step by Step Solution
- Step 1: Write the proportion equation
313,003,516,228 : 687,497,472,296 = 687,497,472,296 : x - Step 2: Convert to fraction form
313,003,516,228/687,497,472,296 = 687,497,472,296/x - Step 3: Cross multiply
313,003,516,228x = 687,497,472,296 × 687,497,472,296 - Step 4: Simplify right side
313,003,516,228x = 472,652,774,413,389,296,304,128 - Step 5: Solve for x
x = 472,652,774,413,389,296,304,128/313,003,516,228 - Step 6: Final answer
x = 1,510,055,797,804.83
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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.