Finding the Third Proportional to 310,795,756,046 and 676,318,794,491
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Solution
The third proportional to 310,795,756,046 and 676,318,794,491 is: 1,471,728,950,230.77
Step by Step Solution
- Step 1: Write the proportion equation
310,795,756,046 : 676,318,794,491 = 676,318,794,491 : x - Step 2: Convert to fraction form
310,795,756,046/676,318,794,491 = 676,318,794,491/x - Step 3: Cross multiply
310,795,756,046x = 676,318,794,491 × 676,318,794,491 - Step 4: Simplify right side
310,795,756,046x = 457,407,111,781,759,517,196,288 - Step 5: Solve for x
x = 457,407,111,781,759,517,196,288/310,795,756,046 - Step 6: Final answer
x = 1,471,728,950,230.77
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.