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Finding the Third Proportional to 4,646,902.50 and 6,692,847.75

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Solution

The third proportional to 4,646,902.50 and 6,692,847.75 is: 9,639,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646,902.50 : 6,692,847.75 = 6,692,847.75 : x
  2. Step 2: Convert to fraction form
    4,646,902.50/6,692,847.75 = 6,692,847.75/x
  3. Step 3: Cross multiply
    4,646,902.50x = 6,692,847.75 × 6,692,847.75
  4. Step 4: Simplify right side
    4,646,902.50x = 44,794,211,004,680.06
  5. Step 5: Solve for x
    x = 44,794,211,004,680.06/4,646,902.50
  6. Step 6: Final answer
    x = 9,639,584.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.