Finding the Third Proportional to 427,012,400 and 932,323,936
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Solution
The third proportional to 427,012,400 and 932,323,936 is: 2,035,603,466.41
Step by Step Solution
- Step 1: Write the proportion equation
427,012,400 : 932,323,936 = 932,323,936 : x - Step 2: Convert to fraction form
427,012,400/932,323,936 = 932,323,936/x - Step 3: Cross multiply
427,012,400x = 932,323,936 × 932,323,936 - Step 4: Simplify right side
427,012,400x = 869,227,921,638,532,096 - Step 5: Solve for x
x = 869,227,921,638,532,096/427,012,400 - Step 6: Final answer
x = 2,035,603,466.41
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.