Finding the Third Proportional to 827,288,385.75 and 1,772,600,152.50
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Solution
The third proportional to 827,288,385.75 and 1,772,600,152.50 is: 3,798,084,627.76
Step by Step Solution
- Step 1: Write the proportion equation
827,288,385.75 : 1,772,600,152.50 = 1,772,600,152.50 : x - Step 2: Convert to fraction form
827,288,385.75/1,772,600,152.50 = 1,772,600,152.50/x - Step 3: Cross multiply
827,288,385.75x = 1,772,600,152.50 × 1,772,600,152.50 - Step 4: Simplify right side
827,288,385.75x = 3,142,111,300,643,023,360 - Step 5: Solve for x
x = 3,142,111,300,643,023,360/827,288,385.75 - Step 6: Final answer
x = 3,798,084,627.76
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.