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Finding the Third Proportional to 14,109,190 and 19,868,943

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Solution

The third proportional to 14,109,190 and 19,868,943 is: 27,979,982.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109,190 : 19,868,943 = 19,868,943 : x
  2. Step 2: Convert to fraction form
    14,109,190/19,868,943 = 19,868,943/x
  3. Step 3: Cross multiply
    14,109,190x = 19,868,943 × 19,868,943
  4. Step 4: Simplify right side
    14,109,190x = 394,774,895,937,249
  5. Step 5: Solve for x
    x = 394,774,895,937,249/14,109,190
  6. Step 6: Final answer
    x = 27,979,982.97

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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.