Finding the Third Proportional to 214,937,816 and 466,367,911
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Solution
The third proportional to 214,937,816 and 466,367,911 is: 1,011,916,062.32
Step by Step Solution
- Step 1: Write the proportion equation
214,937,816 : 466,367,911 = 466,367,911 : x - Step 2: Convert to fraction form
214,937,816/466,367,911 = 466,367,911/x - Step 3: Cross multiply
214,937,816x = 466,367,911 × 466,367,911 - Step 4: Simplify right side
214,937,816x = 217,499,028,410,503,936 - Step 5: Solve for x
x = 217,499,028,410,503,936/214,937,816 - Step 6: Final answer
x = 1,011,916,062.32
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.