Finding the Third Proportional to 215,699,413,175 and 468,942,462,186
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Solution
The third proportional to 215,699,413,175 and 468,942,462,186 is: 1,019,506,866,542.35
Step by Step Solution
- Step 1: Write the proportion equation
215,699,413,175 : 468,942,462,186 = 468,942,462,186 : x - Step 2: Convert to fraction form
215,699,413,175/468,942,462,186 = 468,942,462,186/x - Step 3: Cross multiply
215,699,413,175x = 468,942,462,186 × 468,942,462,186 - Step 4: Simplify right side
215,699,413,175x = 219,907,032,841,068,027,576,320 - Step 5: Solve for x
x = 219,907,032,841,068,027,576,320/215,699,413,175 - Step 6: Final answer
x = 1,019,506,866,542.35
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.