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Finding the Third Proportional to 7,567,782 and 11,340,575

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Solution

The third proportional to 7,567,782 and 11,340,575 is: 16,994,231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567,782 : 11,340,575 = 11,340,575 : x
  2. Step 2: Convert to fraction form
    7,567,782/11,340,575 = 11,340,575/x
  3. Step 3: Cross multiply
    7,567,782x = 11,340,575 × 11,340,575
  4. Step 4: Simplify right side
    7,567,782x = 128,608,641,330,625
  5. Step 5: Solve for x
    x = 128,608,641,330,625/7,567,782
  6. Step 6: Final answer
    x = 16,994,231.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.