Finding the Third Proportional to 398,101,475,403 and 877,348,710,313
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Solution
The third proportional to 398,101,475,403 and 877,348,710,313 is: 1,933,529,029,774.81
Step by Step Solution
- Step 1: Write the proportion equation
398,101,475,403 : 877,348,710,313 = 877,348,710,313 : x - Step 2: Convert to fraction form
398,101,475,403/877,348,710,313 = 877,348,710,313/x - Step 3: Cross multiply
398,101,475,403x = 877,348,710,313 × 877,348,710,313 - Step 4: Simplify right side
398,101,475,403x = 769,740,759,487,884,457,672,704 - Step 5: Solve for x
x = 769,740,759,487,884,457,672,704/398,101,475,403 - Step 6: Final answer
x = 1,933,529,029,774.81
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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.