Finding the Third Proportional to 57,755,566,269 and 123,459,474,847.50
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Solution
The third proportional to 57,755,566,269 and 123,459,474,847.50 is: 263,909,488,111.13
Step by Step Solution
- Step 1: Write the proportion equation
57,755,566,269 : 123,459,474,847.50 = 123,459,474,847.50 : x - Step 2: Convert to fraction form
57,755,566,269/123,459,474,847.50 = 123,459,474,847.50/x - Step 3: Cross multiply
57,755,566,269x = 123,459,474,847.50 × 123,459,474,847.50 - Step 4: Simplify right side
57,755,566,269x = 15,242,241,929,620,486,094,848 - Step 5: Solve for x
x = 15,242,241,929,620,486,094,848/57,755,566,269 - Step 6: Final answer
x = 263,909,488,111.13
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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.