Finding the Third Proportional to 301,823,251 and 646,673,542
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Solution
The third proportional to 301,823,251 and 646,673,542 is: 1,385,534,972.99
Step by Step Solution
- Step 1: Write the proportion equation
301,823,251 : 646,673,542 = 646,673,542 : x - Step 2: Convert to fraction form
301,823,251/646,673,542 = 646,673,542/x - Step 3: Cross multiply
301,823,251x = 646,673,542 × 646,673,542 - Step 4: Simplify right side
301,823,251x = 418,186,669,922,825,792 - Step 5: Solve for x
x = 418,186,669,922,825,792/301,823,251 - Step 6: Final answer
x = 1,385,534,972.99
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.