Finding the Third Proportional to 799,105,380,438 and 1,864,643,658,510
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Solution
The third proportional to 799,105,380,438 and 1,864,643,658,510 is: 4,350,985,562,524.72
Step by Step Solution
- Step 1: Write the proportion equation
799,105,380,438 : 1,864,643,658,510 = 1,864,643,658,510 : x - Step 2: Convert to fraction form
799,105,380,438/1,864,643,658,510 = 1,864,643,658,510/x - Step 3: Cross multiply
799,105,380,438x = 1,864,643,658,510 × 1,864,643,658,510 - Step 4: Simplify right side
799,105,380,438x = 3,476,895,973,221,557,740,765,184 - Step 5: Solve for x
x = 3,476,895,973,221,557,740,765,184/799,105,380,438 - Step 6: Final answer
x = 4,350,985,562,524.72
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Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.