Finding the Third Proportional to 456,215,888,844 and 949,976,429,322
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Solution
The third proportional to 456,215,888,844 and 949,976,429,322 is: 1,978,131,929,061.26
Step by Step Solution
- Step 1: Write the proportion equation
456,215,888,844 : 949,976,429,322 = 949,976,429,322 : x - Step 2: Convert to fraction form
456,215,888,844/949,976,429,322 = 949,976,429,322/x - Step 3: Cross multiply
456,215,888,844x = 949,976,429,322 × 949,976,429,322 - Step 4: Simplify right side
456,215,888,844x = 902,455,216,267,376,847,749,120 - Step 5: Solve for x
x = 902,455,216,267,376,847,749,120/456,215,888,844 - Step 6: Final answer
x = 1,978,131,929,061.26
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.