Finding the Third Proportional to 336,882,844,408 and 749,087,884,620
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Solution
The third proportional to 336,882,844,408 and 749,087,884,620 is: 1,665,661,128,783.62
Step by Step Solution
- Step 1: Write the proportion equation
336,882,844,408 : 749,087,884,620 = 749,087,884,620 : x - Step 2: Convert to fraction form
336,882,844,408/749,087,884,620 = 749,087,884,620/x - Step 3: Cross multiply
336,882,844,408x = 749,087,884,620 × 749,087,884,620 - Step 4: Simplify right side
336,882,844,408x = 561,132,658,884,466,400,296,960 - Step 5: Solve for x
x = 561,132,658,884,466,400,296,960/336,882,844,408 - Step 6: Final answer
x = 1,665,661,128,783.62
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.