Finding the Third Proportional to 757,126,210,064 and 1,176,095,773,136
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Solution
The third proportional to 757,126,210,064 and 1,176,095,773,136 is: 1,826,909,766,433.05
Step by Step Solution
- Step 1: Write the proportion equation
757,126,210,064 : 1,176,095,773,136 = 1,176,095,773,136 : x - Step 2: Convert to fraction form
757,126,210,064/1,176,095,773,136 = 1,176,095,773,136/x - Step 3: Cross multiply
757,126,210,064x = 1,176,095,773,136 × 1,176,095,773,136 - Step 4: Simplify right side
757,126,210,064x = 1,383,201,267,588,365,507,624,960 - Step 5: Solve for x
x = 1,383,201,267,588,365,507,624,960/757,126,210,064 - Step 6: Final answer
x = 1,826,909,766,433.05
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.