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Finding the Third Proportional to 14,468,884 and 19,288,012

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Solution

The third proportional to 14,468,884 and 19,288,012 is: 25,712,239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,468,884 : 19,288,012 = 19,288,012 : x
  2. Step 2: Convert to fraction form
    14,468,884/19,288,012 = 19,288,012/x
  3. Step 3: Cross multiply
    14,468,884x = 19,288,012 × 19,288,012
  4. Step 4: Simplify right side
    14,468,884x = 372,027,406,912,144
  5. Step 5: Solve for x
    x = 372,027,406,912,144/14,468,884
  6. Step 6: Final answer
    x = 25,712,239.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.