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Finding the Third Proportional to 5,685,941 and 13,422,578

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Solution

The third proportional to 5,685,941 and 13,422,578 is: 31,686,153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685,941 : 13,422,578 = 13,422,578 : x
  2. Step 2: Convert to fraction form
    5,685,941/13,422,578 = 13,422,578/x
  3. Step 3: Cross multiply
    5,685,941x = 13,422,578 × 13,422,578
  4. Step 4: Simplify right side
    5,685,941x = 180,165,600,166,084
  5. Step 5: Solve for x
    x = 180,165,600,166,084/5,685,941
  6. Step 6: Final answer
    x = 31,686,153.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.