Finding the Third Proportional to 2,782,257,076.13 and 6,000,349,839.75
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Solution
The third proportional to 2,782,257,076.13 and 6,000,349,839.75 is: 12,940,643,949.96
Step by Step Solution
- Step 1: Write the proportion equation
2,782,257,076.13 : 6,000,349,839.75 = 6,000,349,839.75 : x - Step 2: Convert to fraction form
2,782,257,076.13/6,000,349,839.75 = 6,000,349,839.75/x - Step 3: Cross multiply
2,782,257,076.13x = 6,000,349,839.75 × 6,000,349,839.75 - Step 4: Simplify right side
2,782,257,076.13x = 36,004,198,199,387,848,704 - Step 5: Solve for x
x = 36,004,198,199,387,848,704/2,782,257,076.13 - Step 6: Final answer
x = 12,940,643,949.96
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.