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Finding the Third Proportional to 11,289,432 and 16,959,564

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Solution

The third proportional to 11,289,432 and 16,959,564 is: 25,477,527.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289,432 : 16,959,564 = 16,959,564 : x
  2. Step 2: Convert to fraction form
    11,289,432/16,959,564 = 16,959,564/x
  3. Step 3: Cross multiply
    11,289,432x = 16,959,564 × 16,959,564
  4. Step 4: Simplify right side
    11,289,432x = 287,626,811,070,096
  5. Step 5: Solve for x
    x = 287,626,811,070,096/11,289,432
  6. Step 6: Final answer
    x = 25,477,527.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.