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Finding the Third Proportional to 8,967,383 and 14,275,756.50

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Solution

The third proportional to 8,967,383 and 14,275,756.50 is: 22,726,499.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,967,383 : 14,275,756.50 = 14,275,756.50 : x
  2. Step 2: Convert to fraction form
    8,967,383/14,275,756.50 = 14,275,756.50/x
  3. Step 3: Cross multiply
    8,967,383x = 14,275,756.50 × 14,275,756.50
  4. Step 4: Simplify right side
    8,967,383x = 203,797,223,647,292.25
  5. Step 5: Solve for x
    x = 203,797,223,647,292.25/8,967,383
  6. Step 6: Final answer
    x = 22,726,499.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.