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Finding the Third Proportional to 8,419,856 and 12,705,567

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Solution

The third proportional to 8,419,856 and 12,705,567 is: 19,172,707.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419,856 : 12,705,567 = 12,705,567 : x
  2. Step 2: Convert to fraction form
    8,419,856/12,705,567 = 12,705,567/x
  3. Step 3: Cross multiply
    8,419,856x = 12,705,567 × 12,705,567
  4. Step 4: Simplify right side
    8,419,856x = 161,431,432,791,489
  5. Step 5: Solve for x
    x = 161,431,432,791,489/8,419,856
  6. Step 6: Final answer
    x = 19,172,707.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.