Finding the Third Proportional to 668,497,488,102 and 1,468,323,121,194
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Solution
The third proportional to 668,497,488,102 and 1,468,323,121,194 is: 3,225,102,302,708.92
Step by Step Solution
- Step 1: Write the proportion equation
668,497,488,102 : 1,468,323,121,194 = 1,468,323,121,194 : x - Step 2: Convert to fraction form
668,497,488,102/1,468,323,121,194 = 1,468,323,121,194/x - Step 3: Cross multiply
668,497,488,102x = 1,468,323,121,194 × 1,468,323,121,194 - Step 4: Simplify right side
668,497,488,102x = 2,155,972,788,232,890,045,431,808 - Step 5: Solve for x
x = 2,155,972,788,232,890,045,431,808/668,497,488,102 - Step 6: Final answer
x = 3,225,102,302,708.92
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.