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Finding the Third Proportional to 11,778,817.50 and 24,915,694.50

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Solution

The third proportional to 11,778,817.50 and 24,915,694.50 is: 52,704,087.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778,817.50 : 24,915,694.50 = 24,915,694.50 : x
  2. Step 2: Convert to fraction form
    11,778,817.50/24,915,694.50 = 24,915,694.50/x
  3. Step 3: Cross multiply
    11,778,817.50x = 24,915,694.50 × 24,915,694.50
  4. Step 4: Simplify right side
    11,778,817.50x = 620,791,832,417,330.25
  5. Step 5: Solve for x
    x = 620,791,832,417,330.25/11,778,817.50
  6. Step 6: Final answer
    x = 52,704,087.86

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Why These Related Problems?

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