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Finding the Third Proportional to 5,339,020 and 12,597,966

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Solution

The third proportional to 5,339,020 and 12,597,966 is: 29,726,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339,020 : 12,597,966 = 12,597,966 : x
  2. Step 2: Convert to fraction form
    5,339,020/12,597,966 = 12,597,966/x
  3. Step 3: Cross multiply
    5,339,020x = 12,597,966 × 12,597,966
  4. Step 4: Simplify right side
    5,339,020x = 158,708,747,337,156
  5. Step 5: Solve for x
    x = 158,708,747,337,156/5,339,020
  6. Step 6: Final answer
    x = 29,726,194.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.