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Finding the Third Proportional to 6,513,867.75 and 8,684,168.63

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Solution

The third proportional to 6,513,867.75 and 8,684,168.63 is: 11,577,573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513,867.75 : 8,684,168.63 = 8,684,168.63 : x
  2. Step 2: Convert to fraction form
    6,513,867.75/8,684,168.63 = 8,684,168.63/x
  3. Step 3: Cross multiply
    6,513,867.75x = 8,684,168.63 × 8,684,168.63
  4. Step 4: Simplify right side
    6,513,867.75x = 75,414,784,707,434.39
  5. Step 5: Solve for x
    x = 75,414,784,707,434.39/6,513,867.75
  6. Step 6: Final answer
    x = 11,577,573.82

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.