Finding the Third Proportional to 926,012,016,690 and 2,005,898,573,431.50
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Solution
The third proportional to 926,012,016,690 and 2,005,898,573,431.50 is: 4,345,115,413,595.67
Step by Step Solution
- Step 1: Write the proportion equation
926,012,016,690 : 2,005,898,573,431.50 = 2,005,898,573,431.50 : x - Step 2: Convert to fraction form
926,012,016,690/2,005,898,573,431.50 = 2,005,898,573,431.50/x - Step 3: Cross multiply
926,012,016,690x = 2,005,898,573,431.50 × 2,005,898,573,431.50 - Step 4: Simplify right side
926,012,016,690x = 4,023,629,086,894,526,667,161,600 - Step 5: Solve for x
x = 4,023,629,086,894,526,667,161,600/926,012,016,690 - Step 6: Final answer
x = 4,345,115,413,595.67
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.