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Finding the Third Proportional to 14,448,025 and 19,811,911

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Solution

The third proportional to 14,448,025 and 19,811,911 is: 27,167,160.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,448,025 : 19,811,911 = 19,811,911 : x
  2. Step 2: Convert to fraction form
    14,448,025/19,811,911 = 19,811,911/x
  3. Step 3: Cross multiply
    14,448,025x = 19,811,911 × 19,811,911
  4. Step 4: Simplify right side
    14,448,025x = 392,511,817,471,921
  5. Step 5: Solve for x
    x = 392,511,817,471,921/14,448,025
  6. Step 6: Final answer
    x = 27,167,160.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.