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Finding the Third Proportional to 5,186,724 and 11,172,432

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Solution

The third proportional to 5,186,724 and 11,172,432 is: 24,065,910.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186,724 : 11,172,432 = 11,172,432 : x
  2. Step 2: Convert to fraction form
    5,186,724/11,172,432 = 11,172,432/x
  3. Step 3: Cross multiply
    5,186,724x = 11,172,432 × 11,172,432
  4. Step 4: Simplify right side
    5,186,724x = 124,823,236,794,624
  5. Step 5: Solve for x
    x = 124,823,236,794,624/5,186,724
  6. Step 6: Final answer
    x = 24,065,910.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.