Finding the Third Proportional to 3,367,442,566,344 and 6,913,403,073,024
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Solution
The third proportional to 3,367,442,566,344 and 6,913,403,073,024 is: 14,193,305,782,788.28
Step by Step Solution
- Step 1: Write the proportion equation
3,367,442,566,344 : 6,913,403,073,024 = 6,913,403,073,024 : x - Step 2: Convert to fraction form
3,367,442,566,344/6,913,403,073,024 = 6,913,403,073,024/x - Step 3: Cross multiply
3,367,442,566,344x = 6,913,403,073,024 × 6,913,403,073,024 - Step 4: Simplify right side
3,367,442,566,344x = 47,795,142,050,097,684,969,160,704 - Step 5: Solve for x
x = 47,795,142,050,097,684,969,160,704/3,367,442,566,344 - Step 6: Final answer
x = 14,193,305,782,788.28
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.