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Finding the Third Proportional to 2,863,264 and 6,174,864

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Solution

The third proportional to 2,863,264 and 6,174,864 is: 13,316,601.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863,264 : 6,174,864 = 6,174,864 : x
  2. Step 2: Convert to fraction form
    2,863,264/6,174,864 = 6,174,864/x
  3. Step 3: Cross multiply
    2,863,264x = 6,174,864 × 6,174,864
  4. Step 4: Simplify right side
    2,863,264x = 38,128,945,418,496
  5. Step 5: Solve for x
    x = 38,128,945,418,496/2,863,264
  6. Step 6: Final answer
    x = 13,316,601.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.