Finding the Third Proportional to 42,147,658,746 and 91,012,923,330
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Solution
The third proportional to 42,147,658,746 and 91,012,923,330 is: 196,531,728,203.26
Step by Step Solution
- Step 1: Write the proportion equation
42,147,658,746 : 91,012,923,330 = 91,012,923,330 : x - Step 2: Convert to fraction form
42,147,658,746/91,012,923,330 = 91,012,923,330/x - Step 3: Cross multiply
42,147,658,746x = 91,012,923,330 × 91,012,923,330 - Step 4: Simplify right side
42,147,658,746x = 8,283,352,213,072,458,547,200 - Step 5: Solve for x
x = 8,283,352,213,072,458,547,200/42,147,658,746 - Step 6: Final answer
x = 196,531,728,203.26
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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.