Finding the Third Proportional to 17,767,275,744,526 and 38,688,767,162,047
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Solution
The third proportional to 17,767,275,744,526 and 38,688,767,162,047 is: 84,245,932,018,038.75
Step by Step Solution
- Step 1: Write the proportion equation
17,767,275,744,526 : 38,688,767,162,047 = 38,688,767,162,047 : x - Step 2: Convert to fraction form
17,767,275,744,526/38,688,767,162,047 = 38,688,767,162,047/x - Step 3: Cross multiply
17,767,275,744,526x = 38,688,767,162,047 × 38,688,767,162,047 - Step 4: Simplify right side
17,767,275,744,526x = 1,496,820,704,519,086,318,878,195,712 - Step 5: Solve for x
x = 1,496,820,704,519,086,318,878,195,712/17,767,275,744,526 - Step 6: Final answer
x = 84,245,932,018,038.75
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.