Finding the Third Proportional to 413,265,888,258 and 641,657,189,778
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Solution
The third proportional to 413,265,888,258 and 641,657,189,778 is: 996,268,893,446.06
Step by Step Solution
- Step 1: Write the proportion equation
413,265,888,258 : 641,657,189,778 = 641,657,189,778 : x - Step 2: Convert to fraction form
413,265,888,258/641,657,189,778 = 641,657,189,778/x - Step 3: Cross multiply
413,265,888,258x = 641,657,189,778 × 641,657,189,778 - Step 4: Simplify right side
413,265,888,258x = 411,723,949,193,800,296,955,904 - Step 5: Solve for x
x = 411,723,949,193,800,296,955,904/413,265,888,258 - Step 6: Final answer
x = 996,268,893,446.06
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.