Finding the Third Proportional to 968,523,414,101 and 2,080,778,820,592
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Solution
The third proportional to 968,523,414,101 and 2,080,778,820,592 is: 4,470,351,916,316.94
Step by Step Solution
- Step 1: Write the proportion equation
968,523,414,101 : 2,080,778,820,592 = 2,080,778,820,592 : x - Step 2: Convert to fraction form
968,523,414,101/2,080,778,820,592 = 2,080,778,820,592/x - Step 3: Cross multiply
968,523,414,101x = 2,080,778,820,592 × 2,080,778,820,592 - Step 4: Simplify right side
968,523,414,101x = 4,329,640,500,224,234,650,337,280 - Step 5: Solve for x
x = 4,329,640,500,224,234,650,337,280/968,523,414,101 - Step 6: Final answer
x = 4,470,351,916,316.94
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.