Finding the Third Proportional to 837,919,465,744 and 1,838,064,456,224
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Solution
The third proportional to 837,919,465,744 and 1,838,064,456,224 is: 4,031,987,659,141.24
Step by Step Solution
- Step 1: Write the proportion equation
837,919,465,744 : 1,838,064,456,224 = 1,838,064,456,224 : x - Step 2: Convert to fraction form
837,919,465,744/1,838,064,456,224 = 1,838,064,456,224/x - Step 3: Cross multiply
837,919,465,744x = 1,838,064,456,224 × 1,838,064,456,224 - Step 4: Simplify right side
837,919,465,744x = 3,378,480,945,234,028,615,696,384 - Step 5: Solve for x
x = 3,378,480,945,234,028,615,696,384/837,919,465,744 - Step 6: Final answer
x = 4,031,987,659,141.24
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.