Finding the Third Proportional to 100,748,597,582 and 220,476,109,468
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Solution
The third proportional to 100,748,597,582 and 220,476,109,468 is: 482,485,275,356.63
Step by Step Solution
- Step 1: Write the proportion equation
100,748,597,582 : 220,476,109,468 = 220,476,109,468 : x - Step 2: Convert to fraction form
100,748,597,582/220,476,109,468 = 220,476,109,468/x - Step 3: Cross multiply
100,748,597,582x = 220,476,109,468 × 220,476,109,468 - Step 4: Simplify right side
100,748,597,582x = 48,609,714,846,145,517,191,168 - Step 5: Solve for x
x = 48,609,714,846,145,517,191,168/100,748,597,582 - Step 6: Final answer
x = 482,485,275,356.63
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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.