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Finding the Third Proportional to 7,489,708.50 and 16,136,410.50

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Solution

The third proportional to 7,489,708.50 and 16,136,410.50 is: 34,765,537.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489,708.50 : 16,136,410.50 = 16,136,410.50 : x
  2. Step 2: Convert to fraction form
    7,489,708.50/16,136,410.50 = 16,136,410.50/x
  3. Step 3: Cross multiply
    7,489,708.50x = 16,136,410.50 × 16,136,410.50
  4. Step 4: Simplify right side
    7,489,708.50x = 260,383,743,824,510.25
  5. Step 5: Solve for x
    x = 260,383,743,824,510.25/7,489,708.50
  6. Step 6: Final answer
    x = 34,765,537.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.