Finding the Third Proportional to 7,878,304.13 and 17,136,969.75
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Solution
The third proportional to 7,878,304.13 and 17,136,969.75 is: 37,276,516.31
Step by Step Solution
- Step 1: Write the proportion equation
7,878,304.13 : 17,136,969.75 = 17,136,969.75 : x - Step 2: Convert to fraction form
7,878,304.13/17,136,969.75 = 17,136,969.75/x - Step 3: Cross multiply
7,878,304.13x = 17,136,969.75 × 17,136,969.75 - Step 4: Simplify right side
7,878,304.13x = 293,675,732,212,415.06 - Step 5: Solve for x
x = 293,675,732,212,415.06/7,878,304.13 - Step 6: Final answer
x = 37,276,516.31
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.