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Finding the Third Proportional to 14,456,162 and 19,272,259

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Solution

The third proportional to 14,456,162 and 19,272,259 is: 25,692,847.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456,162 : 19,272,259 = 19,272,259 : x
  2. Step 2: Convert to fraction form
    14,456,162/19,272,259 = 19,272,259/x
  3. Step 3: Cross multiply
    14,456,162x = 19,272,259 × 19,272,259
  4. Step 4: Simplify right side
    14,456,162x = 371,419,966,963,081
  5. Step 5: Solve for x
    x = 371,419,966,963,081/14,456,162
  6. Step 6: Final answer
    x = 25,692,847.59

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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.