Finding the Third Proportional to 299,451,415,079 and 665,855,893,102
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Solution
The third proportional to 299,451,415,079 and 665,855,893,102 is: 1,480,587,661,479.90
Step by Step Solution
- Step 1: Write the proportion equation
299,451,415,079 : 665,855,893,102 = 665,855,893,102 : x - Step 2: Convert to fraction form
299,451,415,079/665,855,893,102 = 665,855,893,102/x - Step 3: Cross multiply
299,451,415,079x = 665,855,893,102 × 665,855,893,102 - Step 4: Simplify right side
299,451,415,079x = 443,364,070,378,662,044,631,040 - Step 5: Solve for x
x = 443,364,070,378,662,044,631,040/299,451,415,079 - Step 6: Final answer
x = 1,480,587,661,479.90
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.