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Finding the Third Proportional to 10,499,016 and 15,013,584

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Solution

The third proportional to 10,499,016 and 15,013,584 is: 21,469,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499,016 : 15,013,584 = 15,013,584 : x
  2. Step 2: Convert to fraction form
    10,499,016/15,013,584 = 15,013,584/x
  3. Step 3: Cross multiply
    10,499,016x = 15,013,584 × 15,013,584
  4. Step 4: Simplify right side
    10,499,016x = 225,407,704,525,056
  5. Step 5: Solve for x
    x = 225,407,704,525,056/10,499,016
  6. Step 6: Final answer
    x = 21,469,412.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.