Finding the Third Proportional to 5,305,343,542,632 and 8,149,656,730,320
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Solution
The third proportional to 5,305,343,542,632 and 8,149,656,730,320 is: 12,518,869,756,189.32
Step by Step Solution
- Step 1: Write the proportion equation
5,305,343,542,632 : 8,149,656,730,320 = 8,149,656,730,320 : x - Step 2: Convert to fraction form
5,305,343,542,632/8,149,656,730,320 = 8,149,656,730,320/x - Step 3: Cross multiply
5,305,343,542,632x = 8,149,656,730,320 × 8,149,656,730,320 - Step 4: Simplify right side
5,305,343,542,632x = 66,416,904,822,050,073,069,223,936 - Step 5: Solve for x
x = 66,416,904,822,050,073,069,223,936/5,305,343,542,632 - Step 6: Final answer
x = 12,518,869,756,189.32
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.