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Finding the Third Proportional to 5,664,059.86 and 12,230,635.64

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Solution

The third proportional to 5,664,059.86 and 12,230,635.64 is: 26,410,110.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664,059.86 : 12,230,635.64 = 12,230,635.64 : x
  2. Step 2: Convert to fraction form
    5,664,059.86/12,230,635.64 = 12,230,635.64/x
  3. Step 3: Cross multiply
    5,664,059.86x = 12,230,635.64 × 12,230,635.64
  4. Step 4: Simplify right side
    5,664,059.86x = 149,588,448,173,726.50
  5. Step 5: Solve for x
    x = 149,588,448,173,726.50/5,664,059.86
  6. Step 6: Final answer
    x = 26,410,110.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.