Finding the Third Proportional to 5,774,221,473,336 and 12,236,864,941,844
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Solution
The third proportional to 5,774,221,473,336 and 12,236,864,941,844 is: 25,932,649,846,632.82
Step by Step Solution
- Step 1: Write the proportion equation
5,774,221,473,336 : 12,236,864,941,844 = 12,236,864,941,844 : x - Step 2: Convert to fraction form
5,774,221,473,336/12,236,864,941,844 = 12,236,864,941,844/x - Step 3: Cross multiply
5,774,221,473,336x = 12,236,864,941,844 × 12,236,864,941,844 - Step 4: Simplify right side
5,774,221,473,336x = 149,740,863,604,930,769,712,054,272 - Step 5: Solve for x
x = 149,740,863,604,930,769,712,054,272/5,774,221,473,336 - Step 6: Final answer
x = 25,932,649,846,632.82
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.