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Finding the Third Proportional to 10,259,125 and 16,009,802

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Solution

The third proportional to 10,259,125 and 16,009,802 is: 24,983,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,259,125 : 16,009,802 = 16,009,802 : x
  2. Step 2: Convert to fraction form
    10,259,125/16,009,802 = 16,009,802/x
  3. Step 3: Cross multiply
    10,259,125x = 16,009,802 × 16,009,802
  4. Step 4: Simplify right side
    10,259,125x = 256,313,760,079,204
  5. Step 5: Solve for x
    x = 256,313,760,079,204/10,259,125
  6. Step 6: Final answer
    x = 24,983,978.66

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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.