Finding the Third Proportional to 2,201,793,536,439 and 4,466,368,487,452
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Solution
The third proportional to 2,201,793,536,439 and 4,466,368,487,452 is: 9,060,089,938,299.69
Step by Step Solution
- Step 1: Write the proportion equation
2,201,793,536,439 : 4,466,368,487,452 = 4,466,368,487,452 : x - Step 2: Convert to fraction form
2,201,793,536,439/4,466,368,487,452 = 4,466,368,487,452/x - Step 3: Cross multiply
2,201,793,536,439x = 4,466,368,487,452 × 4,466,368,487,452 - Step 4: Simplify right side
2,201,793,536,439x = 19,948,447,465,704,267,536,400,384 - Step 5: Solve for x
x = 19,948,447,465,704,267,536,400,384/2,201,793,536,439 - Step 6: Final answer
x = 9,060,089,938,299.69
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.