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Finding the Third Proportional to 3,664,464.75 and 8,051,594.50

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Solution

The third proportional to 3,664,464.75 and 8,051,594.50 is: 17,691,034.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664,464.75 : 8,051,594.50 = 8,051,594.50 : x
  2. Step 2: Convert to fraction form
    3,664,464.75/8,051,594.50 = 8,051,594.50/x
  3. Step 3: Cross multiply
    3,664,464.75x = 8,051,594.50 × 8,051,594.50
  4. Step 4: Simplify right side
    3,664,464.75x = 64,828,173,992,430.25
  5. Step 5: Solve for x
    x = 64,828,173,992,430.25/3,664,464.75
  6. Step 6: Final answer
    x = 17,691,034.96

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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.