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Finding the Third Proportional to 5,564,010 and 11,725,812

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Solution

The third proportional to 5,564,010 and 11,725,812 is: 24,711,434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564,010 : 11,725,812 = 11,725,812 : x
  2. Step 2: Convert to fraction form
    5,564,010/11,725,812 = 11,725,812/x
  3. Step 3: Cross multiply
    5,564,010x = 11,725,812 × 11,725,812
  4. Step 4: Simplify right side
    5,564,010x = 137,494,667,059,344
  5. Step 5: Solve for x
    x = 137,494,667,059,344/5,564,010
  6. Step 6: Final answer
    x = 24,711,434.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.