Finding the Third Proportional to 558,882,772,074 and 1,215,687,589,159.50
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Solution
The third proportional to 558,882,772,074 and 1,215,687,589,159.50 is: 2,644,376,223,929.75
Step by Step Solution
- Step 1: Write the proportion equation
558,882,772,074 : 1,215,687,589,159.50 = 1,215,687,589,159.50 : x - Step 2: Convert to fraction form
558,882,772,074/1,215,687,589,159.50 = 1,215,687,589,159.50/x - Step 3: Cross multiply
558,882,772,074x = 1,215,687,589,159.50 × 1,215,687,589,159.50 - Step 4: Simplify right side
558,882,772,074x = 1,477,896,314,436,437,218,951,168 - Step 5: Solve for x
x = 1,477,896,314,436,437,218,951,168/558,882,772,074 - Step 6: Final answer
x = 2,644,376,223,929.75
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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.