Finding the Third Proportional to 452,427,047,290 and 984,286,780,004
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Solution
The third proportional to 452,427,047,290 and 984,286,780,004 is: 2,141,384,939,503.06
Step by Step Solution
- Step 1: Write the proportion equation
452,427,047,290 : 984,286,780,004 = 984,286,780,004 : x - Step 2: Convert to fraction form
452,427,047,290/984,286,780,004 = 984,286,780,004/x - Step 3: Cross multiply
452,427,047,290x = 984,286,780,004 × 984,286,780,004 - Step 4: Simplify right side
452,427,047,290x = 968,820,465,290,642,754,371,584 - Step 5: Solve for x
x = 968,820,465,290,642,754,371,584/452,427,047,290 - Step 6: Final answer
x = 2,141,384,939,503.06
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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.