Finding the Third Proportional to 46,022,654,977 and 107,529,688,307
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Solution
The third proportional to 46,022,654,977 and 107,529,688,307 is: 251,237,871,287.07
Step by Step Solution
- Step 1: Write the proportion equation
46,022,654,977 : 107,529,688,307 = 107,529,688,307 : x - Step 2: Convert to fraction form
46,022,654,977/107,529,688,307 = 107,529,688,307/x - Step 3: Cross multiply
46,022,654,977x = 107,529,688,307 × 107,529,688,307 - Step 4: Simplify right side
46,022,654,977x = 11,562,633,867,400,572,829,696 - Step 5: Solve for x
x = 11,562,633,867,400,572,829,696/46,022,654,977 - Step 6: Final answer
x = 251,237,871,287.07
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.