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Finding the Third Proportional to 8,141,380.88 and 12,594,659.63

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Solution

The third proportional to 8,141,380.88 and 12,594,659.63 is: 19,483,850.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141,380.88 : 12,594,659.63 = 12,594,659.63 : x
  2. Step 2: Convert to fraction form
    8,141,380.88/12,594,659.63 = 12,594,659.63/x
  3. Step 3: Cross multiply
    8,141,380.88x = 12,594,659.63 × 12,594,659.63
  4. Step 4: Simplify right side
    8,141,380.88x = 158,625,451,069,605.12
  5. Step 5: Solve for x
    x = 158,625,451,069,605.12/8,141,380.88
  6. Step 6: Final answer
    x = 19,483,850.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.