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Finding the Third Proportional to 6,579,784 and 9,814,912

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Solution

The third proportional to 6,579,784 and 9,814,912 is: 14,640,677.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579,784 : 9,814,912 = 9,814,912 : x
  2. Step 2: Convert to fraction form
    6,579,784/9,814,912 = 9,814,912/x
  3. Step 3: Cross multiply
    6,579,784x = 9,814,912 × 9,814,912
  4. Step 4: Simplify right side
    6,579,784x = 96,332,497,567,744
  5. Step 5: Solve for x
    x = 96,332,497,567,744/6,579,784
  6. Step 6: Final answer
    x = 14,640,677.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.