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Finding the Third Proportional to 10,987,872 and 16,164,132

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Solution

The third proportional to 10,987,872 and 16,164,132 is: 23,778,868.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,987,872 : 16,164,132 = 16,164,132 : x
  2. Step 2: Convert to fraction form
    10,987,872/16,164,132 = 16,164,132/x
  3. Step 3: Cross multiply
    10,987,872x = 16,164,132 × 16,164,132
  4. Step 4: Simplify right side
    10,987,872x = 261,279,163,313,424
  5. Step 5: Solve for x
    x = 261,279,163,313,424/10,987,872
  6. Step 6: Final answer
    x = 23,778,868.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.