Finding the Third Proportional to 453,563,463,441 and 971,821,561,029
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Solution
The third proportional to 453,563,463,441 and 971,821,561,029 is: 2,082,260,196,435.99
Step by Step Solution
- Step 1: Write the proportion equation
453,563,463,441 : 971,821,561,029 = 971,821,561,029 : x - Step 2: Convert to fraction form
453,563,463,441/971,821,561,029 = 971,821,561,029/x - Step 3: Cross multiply
453,563,463,441x = 971,821,561,029 × 971,821,561,029 - Step 4: Simplify right side
453,563,463,441x = 944,437,146,480,842,310,156,288 - Step 5: Solve for x
x = 944,437,146,480,842,310,156,288/453,563,463,441 - Step 6: Final answer
x = 2,082,260,196,435.99
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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.