Finding the Third Proportional to 310,795,756,042 and 676,318,794,482.50
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Solution
The third proportional to 310,795,756,042 and 676,318,794,482.50 is: 1,471,728,950,212.72
Step by Step Solution
- Step 1: Write the proportion equation
310,795,756,042 : 676,318,794,482.50 = 676,318,794,482.50 : x - Step 2: Convert to fraction form
310,795,756,042/676,318,794,482.50 = 676,318,794,482.50/x - Step 3: Cross multiply
310,795,756,042x = 676,318,794,482.50 × 676,318,794,482.50 - Step 4: Simplify right side
310,795,756,042x = 457,407,111,770,262,091,071,488 - Step 5: Solve for x
x = 457,407,111,770,262,091,071,488/310,795,756,042 - Step 6: Final answer
x = 1,471,728,950,212.72
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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.