Finding the Third Proportional to 946,447,016,272 and 2,231,984,831,656
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Solution
The third proportional to 946,447,016,272 and 2,231,984,831,656 is: 5,263,639,911,260.23
Step by Step Solution
- Step 1: Write the proportion equation
946,447,016,272 : 2,231,984,831,656 = 2,231,984,831,656 : x - Step 2: Convert to fraction form
946,447,016,272/2,231,984,831,656 = 2,231,984,831,656/x - Step 3: Cross multiply
946,447,016,272x = 2,231,984,831,656 × 2,231,984,831,656 - Step 4: Simplify right side
946,447,016,272x = 4,981,756,288,742,463,182,471,168 - Step 5: Solve for x
x = 4,981,756,288,742,463,182,471,168/946,447,016,272 - Step 6: Final answer
x = 5,263,639,911,260.23
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.