Finding the Third Proportional to 7,188,224,965,706 and 14,576,470,687,540
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Solution
The third proportional to 7,188,224,965,706 and 14,576,470,687,540 is: 29,558,548,698,516.49
Step by Step Solution
- Step 1: Write the proportion equation
7,188,224,965,706 : 14,576,470,687,540 = 14,576,470,687,540 : x - Step 2: Convert to fraction form
7,188,224,965,706/14,576,470,687,540 = 14,576,470,687,540/x - Step 3: Cross multiply
7,188,224,965,706x = 14,576,470,687,540 × 14,576,470,687,540 - Step 4: Simplify right side
7,188,224,965,706x = 212,473,497,704,712,832,423,034,880 - Step 5: Solve for x
x = 212,473,497,704,712,832,423,034,880/7,188,224,965,706 - Step 6: Final answer
x = 29,558,548,698,516.49
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.