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Finding the Third Proportional to 5,300,017 and 11,439,266

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Solution

The third proportional to 5,300,017 and 11,439,266 is: 24,689,884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300,017 : 11,439,266 = 11,439,266 : x
  2. Step 2: Convert to fraction form
    5,300,017/11,439,266 = 11,439,266/x
  3. Step 3: Cross multiply
    5,300,017x = 11,439,266 × 11,439,266
  4. Step 4: Simplify right side
    5,300,017x = 130,856,806,618,756
  5. Step 5: Solve for x
    x = 130,856,806,618,756/5,300,017
  6. Step 6: Final answer
    x = 24,689,884.32

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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.