Finding the Third Proportional to 340,716,395,305.20 and 735,833,577,315.07
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Solution
The third proportional to 340,716,395,305.20 and 735,833,577,315.07 is: 1,589,154,678,099.02
Step by Step Solution
- Step 1: Write the proportion equation
340,716,395,305.20 : 735,833,577,315.07 = 735,833,577,315.07 : x - Step 2: Convert to fraction form
340,716,395,305.20/735,833,577,315.07 = 735,833,577,315.07/x - Step 3: Cross multiply
340,716,395,305.20x = 735,833,577,315.07 × 735,833,577,315.07 - Step 4: Simplify right side
340,716,395,305.20x = 541,451,053,504,293,008,048,128 - Step 5: Solve for x
x = 541,451,053,504,293,008,048,128/340,716,395,305.20 - Step 6: Final answer
x = 1,589,154,678,099.02
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.