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Finding the Third Proportional to 10,806,777 and 16,432,969.50

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Solution

The third proportional to 10,806,777 and 16,432,969.50 is: 24,988,253.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806,777 : 16,432,969.50 = 16,432,969.50 : x
  2. Step 2: Convert to fraction form
    10,806,777/16,432,969.50 = 16,432,969.50/x
  3. Step 3: Cross multiply
    10,806,777x = 16,432,969.50 × 16,432,969.50
  4. Step 4: Simplify right side
    10,806,777x = 270,042,486,587,930.25
  5. Step 5: Solve for x
    x = 270,042,486,587,930.25/10,806,777
  6. Step 6: Final answer
    x = 24,988,253.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.