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Finding the Third Proportional to 13,930,974 and 21,106,791

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Solution

The third proportional to 13,930,974 and 21,106,791 is: 31,978,857.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930,974 : 21,106,791 = 21,106,791 : x
  2. Step 2: Convert to fraction form
    13,930,974/21,106,791 = 21,106,791/x
  3. Step 3: Cross multiply
    13,930,974x = 21,106,791 × 21,106,791
  4. Step 4: Simplify right side
    13,930,974x = 445,496,626,317,681
  5. Step 5: Solve for x
    x = 445,496,626,317,681/13,930,974
  6. Step 6: Final answer
    x = 31,978,857.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.