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Finding the Third Proportional to 11,432,464.50 and 24,522,673.50

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Solution

The third proportional to 11,432,464.50 and 24,522,673.50 is: 52,601,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432,464.50 : 24,522,673.50 = 24,522,673.50 : x
  2. Step 2: Convert to fraction form
    11,432,464.50/24,522,673.50 = 24,522,673.50/x
  3. Step 3: Cross multiply
    11,432,464.50x = 24,522,673.50 × 24,522,673.50
  4. Step 4: Simplify right side
    11,432,464.50x = 601,361,515,587,602.25
  5. Step 5: Solve for x
    x = 601,361,515,587,602.25/11,432,464.50
  6. Step 6: Final answer
    x = 52,601,214.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.