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Finding the Third Proportional to 14,109,170 and 19,868,913

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Solution

The third proportional to 14,109,170 and 19,868,913 is: 27,979,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109,170 : 19,868,913 = 19,868,913 : x
  2. Step 2: Convert to fraction form
    14,109,170/19,868,913 = 19,868,913/x
  3. Step 3: Cross multiply
    14,109,170x = 19,868,913 × 19,868,913
  4. Step 4: Simplify right side
    14,109,170x = 394,773,703,801,569
  5. Step 5: Solve for x
    x = 394,773,703,801,569/14,109,170
  6. Step 6: Final answer
    x = 27,979,938.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.