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Finding the Third Proportional to 23,449,432.50 and 51,669,533.81

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Solution

The third proportional to 23,449,432.50 and 51,669,533.81 is: 113,850,973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,449,432.50 : 51,669,533.81 = 51,669,533.81 : x
  2. Step 2: Convert to fraction form
    23,449,432.50/51,669,533.81 = 51,669,533.81/x
  3. Step 3: Cross multiply
    23,449,432.50x = 51,669,533.81 × 51,669,533.81
  4. Step 4: Simplify right side
    23,449,432.50x = 2,669,740,724,401,081
  5. Step 5: Solve for x
    x = 2,669,740,724,401,081/23,449,432.50
  6. Step 6: Final answer
    x = 113,850,973.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.