Finding the Third Proportional to 708,875,271,864 and 1,525,264,568,892
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Solution
The third proportional to 708,875,271,864 and 1,525,264,568,892 is: 3,281,863,675,396.53
Step by Step Solution
- Step 1: Write the proportion equation
708,875,271,864 : 1,525,264,568,892 = 1,525,264,568,892 : x - Step 2: Convert to fraction form
708,875,271,864/1,525,264,568,892 = 1,525,264,568,892/x - Step 3: Cross multiply
708,875,271,864x = 1,525,264,568,892 × 1,525,264,568,892 - Step 4: Simplify right side
708,875,271,864x = 2,326,432,005,117,298,738,200,576 - Step 5: Solve for x
x = 2,326,432,005,117,298,738,200,576/708,875,271,864 - Step 6: Final answer
x = 3,281,863,675,396.53
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.