Finding the Third Proportional to 266,414,830,157.25 and 575,291,563,845.75
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Solution
The third proportional to 266,414,830,157.25 and 575,291,563,845.75 is: 1,242,274,625,765.92
Step by Step Solution
- Step 1: Write the proportion equation
266,414,830,157.25 : 575,291,563,845.75 = 575,291,563,845.75 : x - Step 2: Convert to fraction form
266,414,830,157.25/575,291,563,845.75 = 575,291,563,845.75/x - Step 3: Cross multiply
266,414,830,157.25x = 575,291,563,845.75 × 575,291,563,845.75 - Step 4: Simplify right side
266,414,830,157.25x = 330,960,383,432,088,637,931,520 - Step 5: Solve for x
x = 330,960,383,432,088,637,931,520/266,414,830,157.25 - Step 6: Final answer
x = 1,242,274,625,765.92
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.