Finding the Third Proportional to 213,953,690,492 and 466,350,776,648
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Solution
The third proportional to 213,953,690,492 and 466,350,776,648 is: 1,016,495,889,274.34
Step by Step Solution
- Step 1: Write the proportion equation
213,953,690,492 : 466,350,776,648 = 466,350,776,648 : x - Step 2: Convert to fraction form
213,953,690,492/466,350,776,648 = 466,350,776,648/x - Step 3: Cross multiply
213,953,690,492x = 466,350,776,648 × 466,350,776,648 - Step 4: Simplify right side
213,953,690,492x = 217,483,046,880,192,797,605,888 - Step 5: Solve for x
x = 217,483,046,880,192,797,605,888/213,953,690,492 - Step 6: Final answer
x = 1,016,495,889,274.34
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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.