Finding the Third Proportional to 353,497,275,414 and 775,433,443,860
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Solution
The third proportional to 353,497,275,414 and 775,433,443,860 is: 1,700,994,795,935.47
Step by Step Solution
- Step 1: Write the proportion equation
353,497,275,414 : 775,433,443,860 = 775,433,443,860 : x - Step 2: Convert to fraction form
353,497,275,414/775,433,443,860 = 775,433,443,860/x - Step 3: Cross multiply
353,497,275,414x = 775,433,443,860 × 775,433,443,860 - Step 4: Simplify right side
353,497,275,414x = 601,297,025,856,579,754,262,528 - Step 5: Solve for x
x = 601,297,025,856,579,754,262,528/353,497,275,414 - Step 6: Final answer
x = 1,700,994,795,935.47
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.