Finding the Third Proportional to 47,811,688,342 and 71,454,016,500
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Solution
The third proportional to 47,811,688,342 and 71,454,016,500 is: 106,787,203,109.44
Step by Step Solution
- Step 1: Write the proportion equation
47,811,688,342 : 71,454,016,500 = 71,454,016,500 : x - Step 2: Convert to fraction form
47,811,688,342/71,454,016,500 = 71,454,016,500/x - Step 3: Cross multiply
47,811,688,342x = 71,454,016,500 × 71,454,016,500 - Step 4: Simplify right side
47,811,688,342x = 5,105,676,473,982,271,881,216 - Step 5: Solve for x
x = 5,105,676,473,982,271,881,216/47,811,688,342 - Step 6: Final answer
x = 106,787,203,109.44
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.