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Finding the Third Proportional to 13,474,109 and 20,710,893

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Solution

The third proportional to 13,474,109 and 20,710,893 is: 31,834,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474,109 : 20,710,893 = 20,710,893 : x
  2. Step 2: Convert to fraction form
    13,474,109/20,710,893 = 20,710,893/x
  3. Step 3: Cross multiply
    13,474,109x = 20,710,893 × 20,710,893
  4. Step 4: Simplify right side
    13,474,109x = 428,941,088,857,449
  5. Step 5: Solve for x
    x = 428,941,088,857,449/13,474,109
  6. Step 6: Final answer
    x = 31,834,467.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.