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Finding the Third Proportional to 7,229,109 and 9,637,731

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Solution

The third proportional to 7,229,109 and 9,637,731 is: 12,848,866.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229,109 : 9,637,731 = 9,637,731 : x
  2. Step 2: Convert to fraction form
    7,229,109/9,637,731 = 9,637,731/x
  3. Step 3: Cross multiply
    7,229,109x = 9,637,731 × 9,637,731
  4. Step 4: Simplify right side
    7,229,109x = 92,885,858,828,361
  5. Step 5: Solve for x
    x = 92,885,858,828,361/7,229,109
  6. Step 6: Final answer
    x = 12,848,866.83

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.