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Finding the Third Proportional to 5,108,337 and 7,683,957

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Solution

The third proportional to 5,108,337 and 7,683,957 is: 11,558,202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108,337 : 7,683,957 = 7,683,957 : x
  2. Step 2: Convert to fraction form
    5,108,337/7,683,957 = 7,683,957/x
  3. Step 3: Cross multiply
    5,108,337x = 7,683,957 × 7,683,957
  4. Step 4: Simplify right side
    5,108,337x = 59,043,195,177,849
  5. Step 5: Solve for x
    x = 59,043,195,177,849/5,108,337
  6. Step 6: Final answer
    x = 11,558,202.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.