Finding the Third Proportional to 4,614,629,748,936 and 6,783,710,442,000
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Solution
The third proportional to 4,614,629,748,936 and 6,783,710,442,000 is: 9,972,355,284,085.45
Step by Step Solution
- Step 1: Write the proportion equation
4,614,629,748,936 : 6,783,710,442,000 = 6,783,710,442,000 : x - Step 2: Convert to fraction form
4,614,629,748,936/6,783,710,442,000 = 6,783,710,442,000/x - Step 3: Cross multiply
4,614,629,748,936x = 6,783,710,442,000 × 6,783,710,442,000 - Step 4: Simplify right side
4,614,629,748,936x = 46,018,727,360,899,835,756,544,000 - Step 5: Solve for x
x = 46,018,727,360,899,835,756,544,000/4,614,629,748,936 - Step 6: Final answer
x = 9,972,355,284,085.45
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.