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Finding the Third Proportional to 11,778,844.50 and 24,915,748.50

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Solution

The third proportional to 11,778,844.50 and 24,915,748.50 is: 52,704,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778,844.50 : 24,915,748.50 = 24,915,748.50 : x
  2. Step 2: Convert to fraction form
    11,778,844.50/24,915,748.50 = 24,915,748.50/x
  3. Step 3: Cross multiply
    11,778,844.50x = 24,915,748.50 × 24,915,748.50
  4. Step 4: Simplify right side
    11,778,844.50x = 620,794,523,315,252.25
  5. Step 5: Solve for x
    x = 620,794,523,315,252.25/11,778,844.50
  6. Step 6: Final answer
    x = 52,704,195.50

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.