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Finding the Third Proportional to 5,099,564 and 11,126,416

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Solution

The third proportional to 5,099,564 and 11,126,416 is: 24,276,023.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099,564 : 11,126,416 = 11,126,416 : x
  2. Step 2: Convert to fraction form
    5,099,564/11,126,416 = 11,126,416/x
  3. Step 3: Cross multiply
    5,099,564x = 11,126,416 × 11,126,416
  4. Step 4: Simplify right side
    5,099,564x = 123,797,133,005,056
  5. Step 5: Solve for x
    x = 123,797,133,005,056/5,099,564
  6. Step 6: Final answer
    x = 24,276,023.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.