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Finding the Third Proportional to 6,844,408 and 9,569,472

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Solution

The third proportional to 6,844,408 and 9,569,472 is: 13,379,505.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844,408 : 9,569,472 = 9,569,472 : x
  2. Step 2: Convert to fraction form
    6,844,408/9,569,472 = 9,569,472/x
  3. Step 3: Cross multiply
    6,844,408x = 9,569,472 × 9,569,472
  4. Step 4: Simplify right side
    6,844,408x = 91,574,794,358,784
  5. Step 5: Solve for x
    x = 91,574,794,358,784/6,844,408
  6. Step 6: Final answer
    x = 13,379,505.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.