Finding the Third Proportional to 453,563,462,450 and 971,821,559,116
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Solution
The third proportional to 453,563,462,450 and 971,821,559,116 is: 2,082,260,192,787.83
Step by Step Solution
- Step 1: Write the proportion equation
453,563,462,450 : 971,821,559,116 = 971,821,559,116 : x - Step 2: Convert to fraction form
453,563,462,450/971,821,559,116 = 971,821,559,116/x - Step 3: Cross multiply
453,563,462,450x = 971,821,559,116 × 971,821,559,116 - Step 4: Simplify right side
453,563,462,450x = 944,437,142,762,653,017,440,256 - Step 5: Solve for x
x = 944,437,142,762,653,017,440,256/453,563,462,450 - Step 6: Final answer
x = 2,082,260,192,787.83
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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.