Finding the Third Proportional to 227,752,390,873.68 and 489,780,733,343.62
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Solution
The third proportional to 227,752,390,873.68 and 489,780,733,343.62 is: 1,053,271,782,721.54
Step by Step Solution
- Step 1: Write the proportion equation
227,752,390,873.68 : 489,780,733,343.62 = 489,780,733,343.62 : x - Step 2: Convert to fraction form
227,752,390,873.68/489,780,733,343.62 = 489,780,733,343.62/x - Step 3: Cross multiply
227,752,390,873.68x = 489,780,733,343.62 × 489,780,733,343.62 - Step 4: Simplify right side
227,752,390,873.68x = 239,885,166,754,614,197,878,784 - Step 5: Solve for x
x = 239,885,166,754,614,197,878,784/227,752,390,873.68 - Step 6: Final answer
x = 1,053,271,782,721.54
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.