Finding the Third Proportional to 7,576,703,238,150 and 17,679,585,164,175
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Solution
The third proportional to 7,576,703,238,150 and 17,679,585,164,175 is: 41,253,790,963,262.84
Step by Step Solution
- Step 1: Write the proportion equation
7,576,703,238,150 : 17,679,585,164,175 = 17,679,585,164,175 : x - Step 2: Convert to fraction form
7,576,703,238,150/17,679,585,164,175 = 17,679,585,164,175/x - Step 3: Cross multiply
7,576,703,238,150x = 17,679,585,164,175 × 17,679,585,164,175 - Step 4: Simplify right side
7,576,703,238,150x = 312,567,731,577,316,742,390,611,968 - Step 5: Solve for x
x = 312,567,731,577,316,742,390,611,968/7,576,703,238,150 - Step 6: Final answer
x = 41,253,790,963,262.84
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Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.