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Finding the Third Proportional to 2,375,732 and 5,200,432

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Solution

The third proportional to 2,375,732 and 5,200,432 is: 11,383,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375,732 : 5,200,432 = 5,200,432 : x
  2. Step 2: Convert to fraction form
    2,375,732/5,200,432 = 5,200,432/x
  3. Step 3: Cross multiply
    2,375,732x = 5,200,432 × 5,200,432
  4. Step 4: Simplify right side
    2,375,732x = 27,044,492,986,624
  5. Step 5: Solve for x
    x = 27,044,492,986,624/2,375,732
  6. Step 6: Final answer
    x = 11,383,646.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.