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Finding the Third Proportional to 503,383,315 and 1,186,614,432

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Solution

The third proportional to 503,383,315 and 1,186,614,432 is: 2,797,180,137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,383,315 : 1,186,614,432 = 1,186,614,432 : x
  2. Step 2: Convert to fraction form
    503,383,315/1,186,614,432 = 1,186,614,432/x
  3. Step 3: Cross multiply
    503,383,315x = 1,186,614,432 × 1,186,614,432
  4. Step 4: Simplify right side
    503,383,315x = 1,408,053,810,230,682,624
  5. Step 5: Solve for x
    x = 1,408,053,810,230,682,624/503,383,315
  6. Step 6: Final answer
    x = 2,797,180,137.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.