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Finding the Third Proportional to 8,309,742 and 12,764,781

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Solution

The third proportional to 8,309,742 and 12,764,781 is: 19,608,266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309,742 : 12,764,781 = 12,764,781 : x
  2. Step 2: Convert to fraction form
    8,309,742/12,764,781 = 12,764,781/x
  3. Step 3: Cross multiply
    8,309,742x = 12,764,781 × 12,764,781
  4. Step 4: Simplify right side
    8,309,742x = 162,939,633,977,961
  5. Step 5: Solve for x
    x = 162,939,633,977,961/8,309,742
  6. Step 6: Final answer
    x = 19,608,266.29

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.