Finding the Third Proportional to 6,977,706 and 14,783,946
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Solution
The third proportional to 6,977,706 and 14,783,946 is: 31,323,340.27
Step by Step Solution
- Step 1: Write the proportion equation
6,977,706 : 14,783,946 = 14,783,946 : x - Step 2: Convert to fraction form
6,977,706/14,783,946 = 14,783,946/x - Step 3: Cross multiply
6,977,706x = 14,783,946 × 14,783,946 - Step 4: Simplify right side
6,977,706x = 218,565,059,330,916 - Step 5: Solve for x
x = 218,565,059,330,916/6,977,706 - Step 6: Final answer
x = 31,323,340.27
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.