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Finding the Third Proportional to 5,196,724 and 11,337,800

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Solution

The third proportional to 5,196,724 and 11,337,800 is: 24,735,912.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196,724 : 11,337,800 = 11,337,800 : x
  2. Step 2: Convert to fraction form
    5,196,724/11,337,800 = 11,337,800/x
  3. Step 3: Cross multiply
    5,196,724x = 11,337,800 × 11,337,800
  4. Step 4: Simplify right side
    5,196,724x = 128,545,708,840,000
  5. Step 5: Solve for x
    x = 128,545,708,840,000/5,196,724
  6. Step 6: Final answer
    x = 24,735,912.25

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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.