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Finding the Third Proportional to 8,380,429 and 12,814,311

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Solution

The third proportional to 8,380,429 and 12,814,311 is: 19,594,052.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380,429 : 12,814,311 = 12,814,311 : x
  2. Step 2: Convert to fraction form
    8,380,429/12,814,311 = 12,814,311/x
  3. Step 3: Cross multiply
    8,380,429x = 12,814,311 × 12,814,311
  4. Step 4: Simplify right side
    8,380,429x = 164,206,566,404,721
  5. Step 5: Solve for x
    x = 164,206,566,404,721/8,380,429
  6. Step 6: Final answer
    x = 19,594,052.57

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.