Finding the Third Proportional to 214,937,824 and 466,367,927
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Solution
The third proportional to 214,937,824 and 466,367,927 is: 1,011,916,094.09
Step by Step Solution
- Step 1: Write the proportion equation
214,937,824 : 466,367,927 = 466,367,927 : x - Step 2: Convert to fraction form
214,937,824/466,367,927 = 466,367,927/x - Step 3: Cross multiply
214,937,824x = 466,367,927 × 466,367,927 - Step 4: Simplify right side
214,937,824x = 217,499,043,334,277,344 - Step 5: Solve for x
x = 217,499,043,334,277,344/214,937,824 - Step 6: Final answer
x = 1,011,916,094.09
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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.