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Finding the Third Proportional to 5,172,000 and 10,974,432

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Solution

The third proportional to 5,172,000 and 10,974,432 is: 23,286,573.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172,000 : 10,974,432 = 10,974,432 : x
  2. Step 2: Convert to fraction form
    5,172,000/10,974,432 = 10,974,432/x
  3. Step 3: Cross multiply
    5,172,000x = 10,974,432 × 10,974,432
  4. Step 4: Simplify right side
    5,172,000x = 120,438,157,722,624
  5. Step 5: Solve for x
    x = 120,438,157,722,624/5,172,000
  6. Step 6: Final answer
    x = 23,286,573.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.