Finding the Third Proportional to 329,739,975,608 and 714,233,661,424
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Solution
The third proportional to 329,739,975,608 and 714,233,661,424 is: 1,547,066,661,148.73
Step by Step Solution
- Step 1: Write the proportion equation
329,739,975,608 : 714,233,661,424 = 714,233,661,424 : x - Step 2: Convert to fraction form
329,739,975,608/714,233,661,424 = 714,233,661,424/x - Step 3: Cross multiply
329,739,975,608x = 714,233,661,424 × 714,233,661,424 - Step 4: Simplify right side
329,739,975,608x = 510,129,723,111,133,071,540,224 - Step 5: Solve for x
x = 510,129,723,111,133,071,540,224/329,739,975,608 - Step 6: Final answer
x = 1,547,066,661,148.73
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.