Finding the Third Proportional to 1,666,250,772,546 and 2,549,177,119,452
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Solution
The third proportional to 1,666,250,772,546 and 2,549,177,119,452 is: 3,899,955,572,958.75
Step by Step Solution
- Step 1: Write the proportion equation
1,666,250,772,546 : 2,549,177,119,452 = 2,549,177,119,452 : x - Step 2: Convert to fraction form
1,666,250,772,546/2,549,177,119,452 = 2,549,177,119,452/x - Step 3: Cross multiply
1,666,250,772,546x = 2,549,177,119,452 × 2,549,177,119,452 - Step 4: Simplify right side
1,666,250,772,546x = 6,498,303,986,337,595,751,661,568 - Step 5: Solve for x
x = 6,498,303,986,337,595,751,661,568/1,666,250,772,546 - Step 6: Final answer
x = 3,899,955,572,958.75
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.