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Finding the Third Proportional to 10,913,435.50 and 23,764,416

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Solution

The third proportional to 10,913,435.50 and 23,764,416 is: 51,747,909.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913,435.50 : 23,764,416 = 23,764,416 : x
  2. Step 2: Convert to fraction form
    10,913,435.50/23,764,416 = 23,764,416/x
  3. Step 3: Cross multiply
    10,913,435.50x = 23,764,416 × 23,764,416
  4. Step 4: Simplify right side
    10,913,435.50x = 564,747,467,821,056
  5. Step 5: Solve for x
    x = 564,747,467,821,056/10,913,435.50
  6. Step 6: Final answer
    x = 51,747,909.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.