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Finding the Third Proportional to 383,806,676 and 561,315,716

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Solution

The third proportional to 383,806,676 and 561,315,716 is: 820,921,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,806,676 : 561,315,716 = 561,315,716 : x
  2. Step 2: Convert to fraction form
    383,806,676/561,315,716 = 561,315,716/x
  3. Step 3: Cross multiply
    383,806,676x = 561,315,716 × 561,315,716
  4. Step 4: Simplify right side
    383,806,676x = 315,075,333,028,592,640
  5. Step 5: Solve for x
    x = 315,075,333,028,592,640/383,806,676
  6. Step 6: Final answer
    x = 820,921,971.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.