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Finding the Third Proportional to 8,483,584 and 12,848,928

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Solution

The third proportional to 8,483,584 and 12,848,928 is: 19,460,519.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483,584 : 12,848,928 = 12,848,928 : x
  2. Step 2: Convert to fraction form
    8,483,584/12,848,928 = 12,848,928/x
  3. Step 3: Cross multiply
    8,483,584x = 12,848,928 × 12,848,928
  4. Step 4: Simplify right side
    8,483,584x = 165,094,950,749,184
  5. Step 5: Solve for x
    x = 165,094,950,749,184/8,483,584
  6. Step 6: Final answer
    x = 19,460,519.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.