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Finding the Third Proportional to 10,399,314 and 16,228,529.50

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Solution

The third proportional to 10,399,314 and 16,228,529.50 is: 25,325,244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399,314 : 16,228,529.50 = 16,228,529.50 : x
  2. Step 2: Convert to fraction form
    10,399,314/16,228,529.50 = 16,228,529.50/x
  3. Step 3: Cross multiply
    10,399,314x = 16,228,529.50 × 16,228,529.50
  4. Step 4: Simplify right side
    10,399,314x = 263,365,169,732,370.25
  5. Step 5: Solve for x
    x = 263,365,169,732,370.25/10,399,314
  6. Step 6: Final answer
    x = 25,325,244.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.