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Finding the Third Proportional to 6,553,472 and 10,258,256

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Solution

The third proportional to 6,553,472 and 10,258,256 is: 16,057,414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553,472 : 10,258,256 = 10,258,256 : x
  2. Step 2: Convert to fraction form
    6,553,472/10,258,256 = 10,258,256/x
  3. Step 3: Cross multiply
    6,553,472x = 10,258,256 × 10,258,256
  4. Step 4: Simplify right side
    6,553,472x = 105,231,816,161,536
  5. Step 5: Solve for x
    x = 105,231,816,161,536/6,553,472
  6. Step 6: Final answer
    x = 16,057,414.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.