Finding the Third Proportional to 452,427,047,298 and 984,286,780,020
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Solution
The third proportional to 452,427,047,298 and 984,286,780,020 is: 2,141,384,939,534.81
Step by Step Solution
- Step 1: Write the proportion equation
452,427,047,298 : 984,286,780,020 = 984,286,780,020 : x - Step 2: Convert to fraction form
452,427,047,298/984,286,780,020 = 984,286,780,020/x - Step 3: Cross multiply
452,427,047,298x = 984,286,780,020 × 984,286,780,020 - Step 4: Simplify right side
452,427,047,298x = 968,820,465,322,139,897,036,800 - Step 5: Solve for x
x = 968,820,465,322,139,897,036,800/452,427,047,298 - Step 6: Final answer
x = 2,141,384,939,534.81
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.