Finding the Third Proportional to 658,142,271,214 and 1,334,790,004,400
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Solution
The third proportional to 658,142,271,214 and 1,334,790,004,400 is: 2,707,111,264,194.78
Step by Step Solution
- Step 1: Write the proportion equation
658,142,271,214 : 1,334,790,004,400 = 1,334,790,004,400 : x - Step 2: Convert to fraction form
658,142,271,214/1,334,790,004,400 = 1,334,790,004,400/x - Step 3: Cross multiply
658,142,271,214x = 1,334,790,004,400 × 1,334,790,004,400 - Step 4: Simplify right side
658,142,271,214x = 1,781,664,355,846,152,148,484,096 - Step 5: Solve for x
x = 1,781,664,355,846,152,148,484,096/658,142,271,214 - Step 6: Final answer
x = 2,707,111,264,194.78
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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.