Finding the Third Proportional to 256,208,833,080 and 533,623,919,544
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Solution
The third proportional to 256,208,833,080 and 533,623,919,544 is: 1,111,415,574,889.99
Step by Step Solution
- Step 1: Write the proportion equation
256,208,833,080 : 533,623,919,544 = 533,623,919,544 : x - Step 2: Convert to fraction form
256,208,833,080/533,623,919,544 = 533,623,919,544/x - Step 3: Cross multiply
256,208,833,080x = 533,623,919,544 × 533,623,919,544 - Step 4: Simplify right side
256,208,833,080x = 284,754,487,509,501,373,054,976 - Step 5: Solve for x
x = 284,754,487,509,501,373,054,976/256,208,833,080 - Step 6: Final answer
x = 1,111,415,574,889.99
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.