Finding the Third Proportional to 562,652,135,085 and 759,149,837,880
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Solution
The third proportional to 562,652,135,085 and 759,149,837,880 is: 1,024,271,375,538.58
Step by Step Solution
- Step 1: Write the proportion equation
562,652,135,085 : 759,149,837,880 = 759,149,837,880 : x - Step 2: Convert to fraction form
562,652,135,085/759,149,837,880 = 759,149,837,880/x - Step 3: Cross multiply
562,652,135,085x = 759,149,837,880 × 759,149,837,880 - Step 4: Simplify right side
562,652,135,085x = 576,308,476,353,230,300,774,400 - Step 5: Solve for x
x = 576,308,476,353,230,300,774,400/562,652,135,085 - Step 6: Final answer
x = 1,024,271,375,538.58
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.