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Finding the Third Proportional to 6,737,724 and 10,366,823

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Solution

The third proportional to 6,737,724 and 10,366,823 is: 15,950,641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737,724 : 10,366,823 = 10,366,823 : x
  2. Step 2: Convert to fraction form
    6,737,724/10,366,823 = 10,366,823/x
  3. Step 3: Cross multiply
    6,737,724x = 10,366,823 × 10,366,823
  4. Step 4: Simplify right side
    6,737,724x = 107,471,019,113,329
  5. Step 5: Solve for x
    x = 107,471,019,113,329/6,737,724
  6. Step 6: Final answer
    x = 15,950,641.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.