Finding the Third Proportional to 37,936,183,461,372 and 51,184,818,698,139
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Solution
The third proportional to 37,936,183,461,372 and 51,184,818,698,139 is: 69,060,338,339,754.77
Step by Step Solution
- Step 1: Write the proportion equation
37,936,183,461,372 : 51,184,818,698,139 = 51,184,818,698,139 : x - Step 2: Convert to fraction form
37,936,183,461,372/51,184,818,698,139 = 51,184,818,698,139/x - Step 3: Cross multiply
37,936,183,461,372x = 51,184,818,698,139 × 51,184,818,698,139 - Step 4: Simplify right side
37,936,183,461,372x = 2,619,885,665,161,359,625,434,431,488 - Step 5: Solve for x
x = 2,619,885,665,161,359,625,434,431,488/37,936,183,461,372 - Step 6: Final answer
x = 69,060,338,339,754.77
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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.