Finding the Third Proportional to 843,462,949,692 and 1,284,928,655,818
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Solution
The third proportional to 843,462,949,692 and 1,284,928,655,818 is: 1,957,456,046,107.48
Step by Step Solution
- Step 1: Write the proportion equation
843,462,949,692 : 1,284,928,655,818 = 1,284,928,655,818 : x - Step 2: Convert to fraction form
843,462,949,692/1,284,928,655,818 = 1,284,928,655,818/x - Step 3: Cross multiply
843,462,949,692x = 1,284,928,655,818 × 1,284,928,655,818 - Step 4: Simplify right side
843,462,949,692x = 1,651,041,650,542,252,222,578,688 - Step 5: Solve for x
x = 1,651,041,650,542,252,222,578,688/843,462,949,692 - Step 6: Final answer
x = 1,957,456,046,107.48
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.