Finding the Third Proportional to 19,164,890,569,844 and 42,614,777,166,810
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Solution
The third proportional to 19,164,890,569,844 and 42,614,777,166,810 is: 94,757,610,347,871.30
Step by Step Solution
- Step 1: Write the proportion equation
19,164,890,569,844 : 42,614,777,166,810 = 42,614,777,166,810 : x - Step 2: Convert to fraction form
19,164,890,569,844/42,614,777,166,810 = 42,614,777,166,810/x - Step 3: Cross multiply
19,164,890,569,844x = 42,614,777,166,810 × 42,614,777,166,810 - Step 4: Simplify right side
19,164,890,569,844x = 1,816,019,232,976,870,806,678,142,976 - Step 5: Solve for x
x = 1,816,019,232,976,870,806,678,142,976/19,164,890,569,844 - Step 6: Final answer
x = 94,757,610,347,871.30
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.