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Finding the Third Proportional to 14,026,266 and 19,007,271

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Solution

The third proportional to 14,026,266 and 19,007,271 is: 25,757,129.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,026,266 : 19,007,271 = 19,007,271 : x
  2. Step 2: Convert to fraction form
    14,026,266/19,007,271 = 19,007,271/x
  3. Step 3: Cross multiply
    14,026,266x = 19,007,271 × 19,007,271
  4. Step 4: Simplify right side
    14,026,266x = 361,276,350,867,441
  5. Step 5: Solve for x
    x = 361,276,350,867,441/14,026,266
  6. Step 6: Final answer
    x = 25,757,129.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.