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Finding the Third Proportional to 14,456,170 and 19,272,271

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Solution

The third proportional to 14,456,170 and 19,272,271 is: 25,692,865.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456,170 : 19,272,271 = 19,272,271 : x
  2. Step 2: Convert to fraction form
    14,456,170/19,272,271 = 19,272,271/x
  3. Step 3: Cross multiply
    14,456,170x = 19,272,271 × 19,272,271
  4. Step 4: Simplify right side
    14,456,170x = 371,420,429,497,441
  5. Step 5: Solve for x
    x = 371,420,429,497,441/14,456,170
  6. Step 6: Final answer
    x = 25,692,865.36

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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.