Finding the Third Proportional to 241,566,882,982 and 525,545,700,296
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Solution
The third proportional to 241,566,882,982 and 525,545,700,296 is: 1,143,361,539,007.79
Step by Step Solution
- Step 1: Write the proportion equation
241,566,882,982 : 525,545,700,296 = 525,545,700,296 : x - Step 2: Convert to fraction form
241,566,882,982/525,545,700,296 = 525,545,700,296/x - Step 3: Cross multiply
241,566,882,982x = 525,545,700,296 × 525,545,700,296 - Step 4: Simplify right side
241,566,882,982x = 276,198,283,099,613,054,369,792 - Step 5: Solve for x
x = 276,198,283,099,613,054,369,792/241,566,882,982 - Step 6: Final answer
x = 1,143,361,539,007.79
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.