Finding the Third Proportional to 568,877,077,692 and 821,929,138,528
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Solution
The third proportional to 568,877,077,692 and 821,929,138,528 is: 1,187,545,667,162.82
Step by Step Solution
- Step 1: Write the proportion equation
568,877,077,692 : 821,929,138,528 = 821,929,138,528 : x - Step 2: Convert to fraction form
568,877,077,692/821,929,138,528 = 821,929,138,528/x - Step 3: Cross multiply
568,877,077,692x = 821,929,138,528 × 821,929,138,528 - Step 4: Simplify right side
568,877,077,692x = 675,567,508,761,380,256,743,424 - Step 5: Solve for x
x = 675,567,508,761,380,256,743,424/568,877,077,692 - Step 6: Final answer
x = 1,187,545,667,162.82
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.