Finding the Third Proportional to 398,101,485,343 and 877,348,730,582
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Solution
The third proportional to 398,101,485,343 and 877,348,730,582 is: 1,933,529,070,836.41
Step by Step Solution
- Step 1: Write the proportion equation
398,101,485,343 : 877,348,730,582 = 877,348,730,582 : x - Step 2: Convert to fraction form
398,101,485,343/877,348,730,582 = 877,348,730,582/x - Step 3: Cross multiply
398,101,485,343x = 877,348,730,582 × 877,348,730,582 - Step 4: Simplify right side
398,101,485,343x = 769,740,795,053,846,808,231,936 - Step 5: Solve for x
x = 769,740,795,053,846,808,231,936/398,101,485,343 - Step 6: Final answer
x = 1,933,529,070,836.41
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.