Finding the Third Proportional to 5,862,196,944 and 12,642,698,016
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Solution
The third proportional to 5,862,196,944 and 12,642,698,016 is: 27,265,855,216.17
Step by Step Solution
- Step 1: Write the proportion equation
5,862,196,944 : 12,642,698,016 = 12,642,698,016 : x - Step 2: Convert to fraction form
5,862,196,944/12,642,698,016 = 12,642,698,016/x - Step 3: Cross multiply
5,862,196,944x = 12,642,698,016 × 12,642,698,016 - Step 4: Simplify right side
5,862,196,944x = 159,837,813,123,770,351,616 - Step 5: Solve for x
x = 159,837,813,123,770,351,616/5,862,196,944 - Step 6: Final answer
x = 27,265,855,216.17
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.