Finding the Third Proportional to 980,691,680 and 1,462,533,168
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Solution
The third proportional to 980,691,680 and 1,462,533,168 is: 2,181,116,971.95
Step by Step Solution
- Step 1: Write the proportion equation
980,691,680 : 1,462,533,168 = 1,462,533,168 : x - Step 2: Convert to fraction form
980,691,680/1,462,533,168 = 1,462,533,168/x - Step 3: Cross multiply
980,691,680x = 1,462,533,168 × 1,462,533,168 - Step 4: Simplify right side
980,691,680x = 2,139,003,267,500,116,224 - Step 5: Solve for x
x = 2,139,003,267,500,116,224/980,691,680 - Step 6: Final answer
x = 2,181,116,971.95
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.