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Finding the Third Proportional to 10,398,470.50 and 16,186,235

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Solution

The third proportional to 10,398,470.50 and 16,186,235 is: 25,195,455.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398,470.50 : 16,186,235 = 16,186,235 : x
  2. Step 2: Convert to fraction form
    10,398,470.50/16,186,235 = 16,186,235/x
  3. Step 3: Cross multiply
    10,398,470.50x = 16,186,235 × 16,186,235
  4. Step 4: Simplify right side
    10,398,470.50x = 261,994,203,475,225
  5. Step 5: Solve for x
    x = 261,994,203,475,225/10,398,470.50
  6. Step 6: Final answer
    x = 25,195,455.76

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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.