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Finding the Third Proportional to 7,970,976 and 11,184,857.50

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Solution

The third proportional to 7,970,976 and 11,184,857.50 is: 15,694,569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970,976 : 11,184,857.50 = 11,184,857.50 : x
  2. Step 2: Convert to fraction form
    7,970,976/11,184,857.50 = 11,184,857.50/x
  3. Step 3: Cross multiply
    7,970,976x = 11,184,857.50 × 11,184,857.50
  4. Step 4: Simplify right side
    7,970,976x = 125,101,037,295,306.25
  5. Step 5: Solve for x
    x = 125,101,037,295,306.25/7,970,976
  6. Step 6: Final answer
    x = 15,694,569.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.