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Finding the Third Proportional to 6,737,784 and 10,366,912

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Solution

The third proportional to 6,737,784 and 10,366,912 is: 15,950,773.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737,784 : 10,366,912 = 10,366,912 : x
  2. Step 2: Convert to fraction form
    6,737,784/10,366,912 = 10,366,912/x
  3. Step 3: Cross multiply
    6,737,784x = 10,366,912 × 10,366,912
  4. Step 4: Simplify right side
    6,737,784x = 107,472,864,415,744
  5. Step 5: Solve for x
    x = 107,472,864,415,744/6,737,784
  6. Step 6: Final answer
    x = 15,950,773.19

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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.