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Finding the Third Proportional to 8,033,143 and 17,660,408

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Solution

The third proportional to 8,033,143 and 17,660,408 is: 38,825,402.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033,143 : 17,660,408 = 17,660,408 : x
  2. Step 2: Convert to fraction form
    8,033,143/17,660,408 = 17,660,408/x
  3. Step 3: Cross multiply
    8,033,143x = 17,660,408 × 17,660,408
  4. Step 4: Simplify right side
    8,033,143x = 311,890,010,726,464
  5. Step 5: Solve for x
    x = 311,890,010,726,464/8,033,143
  6. Step 6: Final answer
    x = 38,825,402.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.