Finding the Third Proportional to 157,875,454,974 and 340,913,519,436
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Solution
The third proportional to 157,875,454,974 and 340,913,519,436 is: 736,162,741,405.12
Step by Step Solution
- Step 1: Write the proportion equation
157,875,454,974 : 340,913,519,436 = 340,913,519,436 : x - Step 2: Convert to fraction form
157,875,454,974/340,913,519,436 = 340,913,519,436/x - Step 3: Cross multiply
157,875,454,974x = 340,913,519,436 × 340,913,519,436 - Step 4: Simplify right side
157,875,454,974x = 116,222,027,734,239,957,483,520 - Step 5: Solve for x
x = 116,222,027,734,239,957,483,520/157,875,454,974 - Step 6: Final answer
x = 736,162,741,405.12
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.