Finding the Third Proportional to 57,824,413,804 and 126,819,152,772
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Solution
The third proportional to 57,824,413,804 and 126,819,152,772 is: 278,136,801,599.45
Step by Step Solution
- Step 1: Write the proportion equation
57,824,413,804 : 126,819,152,772 = 126,819,152,772 : x - Step 2: Convert to fraction form
57,824,413,804/126,819,152,772 = 126,819,152,772/x - Step 3: Cross multiply
57,824,413,804x = 126,819,152,772 × 126,819,152,772 - Step 4: Simplify right side
57,824,413,804x = 16,083,097,509,807,876,210,688 - Step 5: Solve for x
x = 16,083,097,509,807,876,210,688/57,824,413,804 - Step 6: Final answer
x = 278,136,801,599.45
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.