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Finding the Third Proportional to 6,413,591 and 13,357,894

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Solution

The third proportional to 6,413,591 and 13,357,894 is: 27,821,127.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413,591 : 13,357,894 = 13,357,894 : x
  2. Step 2: Convert to fraction form
    6,413,591/13,357,894 = 13,357,894/x
  3. Step 3: Cross multiply
    6,413,591x = 13,357,894 × 13,357,894
  4. Step 4: Simplify right side
    6,413,591x = 178,433,332,115,236
  5. Step 5: Solve for x
    x = 178,433,332,115,236/6,413,591
  6. Step 6: Final answer
    x = 27,821,127.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.