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Finding the Third Proportional to 3,810,408 and 8,144,856

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Solution

The third proportional to 3,810,408 and 8,144,856 is: 17,409,862.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810,408 : 8,144,856 = 8,144,856 : x
  2. Step 2: Convert to fraction form
    3,810,408/8,144,856 = 8,144,856/x
  3. Step 3: Cross multiply
    3,810,408x = 8,144,856 × 8,144,856
  4. Step 4: Simplify right side
    3,810,408x = 66,338,679,260,736
  5. Step 5: Solve for x
    x = 66,338,679,260,736/3,810,408
  6. Step 6: Final answer
    x = 17,409,862.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.