Finding the Third Proportional to 560,416,566,207 and 836,952,488,836
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Solution
The third proportional to 560,416,566,207 and 836,952,488,836 is: 1,249,944,257,197.49
Step by Step Solution
- Step 1: Write the proportion equation
560,416,566,207 : 836,952,488,836 = 836,952,488,836 : x - Step 2: Convert to fraction form
560,416,566,207/836,952,488,836 = 836,952,488,836/x - Step 3: Cross multiply
560,416,566,207x = 836,952,488,836 × 836,952,488,836 - Step 4: Simplify right side
560,416,566,207x = 700,489,468,568,774,761,250,816 - Step 5: Solve for x
x = 700,489,468,568,774,761,250,816/560,416,566,207 - Step 6: Final answer
x = 1,249,944,257,197.49
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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.