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Finding the Third Proportional to 5,300,021 and 11,439,274

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Solution

The third proportional to 5,300,021 and 11,439,274 is: 24,689,900.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300,021 : 11,439,274 = 11,439,274 : x
  2. Step 2: Convert to fraction form
    5,300,021/11,439,274 = 11,439,274/x
  3. Step 3: Cross multiply
    5,300,021x = 11,439,274 × 11,439,274
  4. Step 4: Simplify right side
    5,300,021x = 130,856,989,647,076
  5. Step 5: Solve for x
    x = 130,856,989,647,076/5,300,021
  6. Step 6: Final answer
    x = 24,689,900.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.