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Finding the Third Proportional to 4,524,828 and 9,758,136

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Solution

The third proportional to 4,524,828 and 9,758,136 is: 21,044,163.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,524,828 : 9,758,136 = 9,758,136 : x
  2. Step 2: Convert to fraction form
    4,524,828/9,758,136 = 9,758,136/x
  3. Step 3: Cross multiply
    4,524,828x = 9,758,136 × 9,758,136
  4. Step 4: Simplify right side
    4,524,828x = 95,221,218,194,496
  5. Step 5: Solve for x
    x = 95,221,218,194,496/4,524,828
  6. Step 6: Final answer
    x = 21,044,163.05

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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.