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Finding the Third Proportional to 9,462,624 and 14,178,137

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Solution

The third proportional to 9,462,624 and 14,178,137 is: 21,243,533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462,624 : 14,178,137 = 14,178,137 : x
  2. Step 2: Convert to fraction form
    9,462,624/14,178,137 = 14,178,137/x
  3. Step 3: Cross multiply
    9,462,624x = 14,178,137 × 14,178,137
  4. Step 4: Simplify right side
    9,462,624x = 201,019,568,790,769
  5. Step 5: Solve for x
    x = 201,019,568,790,769/9,462,624
  6. Step 6: Final answer
    x = 21,243,533.38

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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.