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Finding the Third Proportional to 2,415,713 and 5,265,472

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Solution

The third proportional to 2,415,713 and 5,265,472 is: 11,477,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415,713 : 5,265,472 = 5,265,472 : x
  2. Step 2: Convert to fraction form
    2,415,713/5,265,472 = 5,265,472/x
  3. Step 3: Cross multiply
    2,415,713x = 5,265,472 × 5,265,472
  4. Step 4: Simplify right side
    2,415,713x = 27,725,195,382,784
  5. Step 5: Solve for x
    x = 27,725,195,382,784/2,415,713
  6. Step 6: Final answer
    x = 11,477,023.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.