Finding the Third Proportional to 29,968,625,930,364 and 47,685,975,211,782
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Solution
The third proportional to 29,968,625,930,364 and 47,685,975,211,782 is: 75,877,760,868,399.88
Step by Step Solution
- Step 1: Write the proportion equation
29,968,625,930,364 : 47,685,975,211,782 = 47,685,975,211,782 : x - Step 2: Convert to fraction form
29,968,625,930,364/47,685,975,211,782 = 47,685,975,211,782/x - Step 3: Cross multiply
29,968,625,930,364x = 47,685,975,211,782 × 47,685,975,211,782 - Step 4: Simplify right side
29,968,625,930,364x = 2,273,952,231,898,687,399,054,540,800 - Step 5: Solve for x
x = 2,273,952,231,898,687,399,054,540,800/29,968,625,930,364 - Step 6: Final answer
x = 75,877,760,868,399.88
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.