Finding the Third Proportional to 157,875,454,968 and 340,913,519,424
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Solution
The third proportional to 157,875,454,968 and 340,913,519,424 is: 736,162,741,381.27
Step by Step Solution
- Step 1: Write the proportion equation
157,875,454,968 : 340,913,519,424 = 340,913,519,424 : x - Step 2: Convert to fraction form
157,875,454,968/340,913,519,424 = 340,913,519,424/x - Step 3: Cross multiply
157,875,454,968x = 340,913,519,424 × 340,913,519,424 - Step 4: Simplify right side
157,875,454,968x = 116,222,027,726,058,028,007,424 - Step 5: Solve for x
x = 116,222,027,726,058,028,007,424/157,875,454,968 - Step 6: Final answer
x = 736,162,741,381.27
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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.