Finding the Third Proportional to 1,680,879,742 and 2,512,055,367
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Solution
The third proportional to 1,680,879,742 and 2,512,055,367 is: 3,754,237,741.82
Step by Step Solution
- Step 1: Write the proportion equation
1,680,879,742 : 2,512,055,367 = 2,512,055,367 : x - Step 2: Convert to fraction form
1,680,879,742/2,512,055,367 = 2,512,055,367/x - Step 3: Cross multiply
1,680,879,742x = 2,512,055,367 × 2,512,055,367 - Step 4: Simplify right side
1,680,879,742x = 6,310,422,166,873,504,768 - Step 5: Solve for x
x = 6,310,422,166,873,504,768/1,680,879,742 - Step 6: Final answer
x = 3,754,237,741.82
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.