Finding the Third Proportional to 463,052,458,056 and 1,003,032,064,208
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Solution
The third proportional to 463,052,458,056 and 1,003,032,064,208 is: 2,172,698,372,130.64
Step by Step Solution
- Step 1: Write the proportion equation
463,052,458,056 : 1,003,032,064,208 = 1,003,032,064,208 : x - Step 2: Convert to fraction form
463,052,458,056/1,003,032,064,208 = 1,003,032,064,208/x - Step 3: Cross multiply
463,052,458,056x = 1,003,032,064,208 × 1,003,032,064,208 - Step 4: Simplify right side
463,052,458,056x = 1,006,073,321,829,361,386,520,576 - Step 5: Solve for x
x = 1,006,073,321,829,361,386,520,576/463,052,458,056 - Step 6: Final answer
x = 2,172,698,372,130.64
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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.