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Finding the Third Proportional to 10,909,306.13 and 16,269,371.44

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Solution

The third proportional to 10,909,306.13 and 16,269,371.44 is: 24,262,995.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909,306.13 : 16,269,371.44 = 16,269,371.44 : x
  2. Step 2: Convert to fraction form
    10,909,306.13/16,269,371.44 = 16,269,371.44/x
  3. Step 3: Cross multiply
    10,909,306.13x = 16,269,371.44 × 16,269,371.44
  4. Step 4: Simplify right side
    10,909,306.13x = 264,692,446,971,340.81
  5. Step 5: Solve for x
    x = 264,692,446,971,340.81/10,909,306.13
  6. Step 6: Final answer
    x = 24,262,995.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.