Finding the Third Proportional to 573,064,714,188 and 1,226,631,402,468
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Solution
The third proportional to 573,064,714,188 and 1,226,631,402,468 is: 2,625,575,367,439.23
Step by Step Solution
- Step 1: Write the proportion equation
573,064,714,188 : 1,226,631,402,468 = 1,226,631,402,468 : x - Step 2: Convert to fraction form
573,064,714,188/1,226,631,402,468 = 1,226,631,402,468/x - Step 3: Cross multiply
573,064,714,188x = 1,226,631,402,468 × 1,226,631,402,468 - Step 4: Simplify right side
573,064,714,188x = 1,504,624,597,520,612,537,139,200 - Step 5: Solve for x
x = 1,504,624,597,520,612,537,139,200/573,064,714,188 - Step 6: Final answer
x = 2,625,575,367,439.23
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.