Finding the Third Proportional to 733,097,390,270 and 1,578,234,882,312
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Solution
The third proportional to 733,097,390,270 and 1,578,234,882,312 is: 3,397,673,183,407.46
Step by Step Solution
- Step 1: Write the proportion equation
733,097,390,270 : 1,578,234,882,312 = 1,578,234,882,312 : x - Step 2: Convert to fraction form
733,097,390,270/1,578,234,882,312 = 1,578,234,882,312/x - Step 3: Cross multiply
733,097,390,270x = 1,578,234,882,312 × 1,578,234,882,312 - Step 4: Simplify right side
733,097,390,270x = 2,490,825,343,746,372,580,409,344 - Step 5: Solve for x
x = 2,490,825,343,746,372,580,409,344/733,097,390,270 - Step 6: Final answer
x = 3,397,673,183,407.46
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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.