Finding the Third Proportional to 37,936,183,461,370 and 51,184,818,698,136
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Solution
The third proportional to 37,936,183,461,370 and 51,184,818,698,136 is: 69,060,338,339,750.33
Step by Step Solution
- Step 1: Write the proportion equation
37,936,183,461,370 : 51,184,818,698,136 = 51,184,818,698,136 : x - Step 2: Convert to fraction form
37,936,183,461,370/51,184,818,698,136 = 51,184,818,698,136/x - Step 3: Cross multiply
37,936,183,461,370x = 51,184,818,698,136 × 51,184,818,698,136 - Step 4: Simplify right side
37,936,183,461,370x = 2,619,885,665,161,052,861,690,281,984 - Step 5: Solve for x
x = 2,619,885,665,161,052,861,690,281,984/37,936,183,461,370 - Step 6: Final answer
x = 69,060,338,339,750.33
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.