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Finding the Third Proportional to 8,444,709 and 13,977,279

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Solution

The third proportional to 8,444,709 and 13,977,279 is: 23,134,524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444,709 : 13,977,279 = 13,977,279 : x
  2. Step 2: Convert to fraction form
    8,444,709/13,977,279 = 13,977,279/x
  3. Step 3: Cross multiply
    8,444,709x = 13,977,279 × 13,977,279
  4. Step 4: Simplify right side
    8,444,709x = 195,364,328,243,841
  5. Step 5: Solve for x
    x = 195,364,328,243,841/8,444,709
  6. Step 6: Final answer
    x = 23,134,524.62

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.