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Finding the Third Proportional to 383,806,671 and 561,315,709

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Solution

The third proportional to 383,806,671 and 561,315,709 is: 820,921,961.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,806,671 : 561,315,709 = 561,315,709 : x
  2. Step 2: Convert to fraction form
    383,806,671/561,315,709 = 561,315,709/x
  3. Step 3: Cross multiply
    383,806,671x = 561,315,709 × 561,315,709
  4. Step 4: Simplify right side
    383,806,671x = 315,075,325,170,172,672
  5. Step 5: Solve for x
    x = 315,075,325,170,172,672/383,806,671
  6. Step 6: Final answer
    x = 820,921,961.44

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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.