Finding the Third Proportional to 9,376,812,272,118 and 20,311,399,283,784
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Solution
The third proportional to 9,376,812,272,118 and 20,311,399,283,784 is: 43,997,141,980,972.52
Step by Step Solution
- Step 1: Write the proportion equation
9,376,812,272,118 : 20,311,399,283,784 = 20,311,399,283,784 : x - Step 2: Convert to fraction form
9,376,812,272,118/20,311,399,283,784 = 20,311,399,283,784/x - Step 3: Cross multiply
9,376,812,272,118x = 20,311,399,283,784 × 20,311,399,283,784 - Step 4: Simplify right side
9,376,812,272,118x = 412,552,940,865,301,212,316,041,216 - Step 5: Solve for x
x = 412,552,940,865,301,212,316,041,216/9,376,812,272,118 - Step 6: Final answer
x = 43,997,141,980,972.52
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.