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Finding the Third Proportional to 217,706,238 and 470,044,809

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Solution

The third proportional to 217,706,238 and 470,044,809 is: 1,014,863,535.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,706,238 : 470,044,809 = 470,044,809 : x
  2. Step 2: Convert to fraction form
    217,706,238/470,044,809 = 470,044,809/x
  3. Step 3: Cross multiply
    217,706,238x = 470,044,809 × 470,044,809
  4. Step 4: Simplify right side
    217,706,238x = 220,942,122,467,846,496
  5. Step 5: Solve for x
    x = 220,942,122,467,846,496/217,706,238
  6. Step 6: Final answer
    x = 1,014,863,535.83

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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.