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Finding the Third Proportional to 6,685,742 and 10,044,576

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Solution

The third proportional to 6,685,742 and 10,044,576 is: 15,090,846.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685,742 : 10,044,576 = 10,044,576 : x
  2. Step 2: Convert to fraction form
    6,685,742/10,044,576 = 10,044,576/x
  3. Step 3: Cross multiply
    6,685,742x = 10,044,576 × 10,044,576
  4. Step 4: Simplify right side
    6,685,742x = 100,893,507,019,776
  5. Step 5: Solve for x
    x = 100,893,507,019,776/6,685,742
  6. Step 6: Final answer
    x = 15,090,846.61

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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.