Finding the Third Proportional to 945,702,955,508 and 1,412,357,324,960
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Solution
The third proportional to 945,702,955,508 and 1,412,357,324,960 is: 2,109,280,934,092.73
Step by Step Solution
- Step 1: Write the proportion equation
945,702,955,508 : 1,412,357,324,960 = 1,412,357,324,960 : x - Step 2: Convert to fraction form
945,702,955,508/1,412,357,324,960 = 1,412,357,324,960/x - Step 3: Cross multiply
945,702,955,508x = 1,412,357,324,960 × 1,412,357,324,960 - Step 4: Simplify right side
945,702,955,508x = 1,994,753,213,368,167,003,324,416 - Step 5: Solve for x
x = 1,994,753,213,368,167,003,324,416/945,702,955,508 - Step 6: Final answer
x = 2,109,280,934,092.73
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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.