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Finding the Third Proportional to 3,899,518 and 8,415,584

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Solution

The third proportional to 3,899,518 and 8,415,584 is: 18,161,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899,518 : 8,415,584 = 8,415,584 : x
  2. Step 2: Convert to fraction form
    3,899,518/8,415,584 = 8,415,584/x
  3. Step 3: Cross multiply
    3,899,518x = 8,415,584 × 8,415,584
  4. Step 4: Simplify right side
    3,899,518x = 70,822,054,061,056
  5. Step 5: Solve for x
    x = 70,822,054,061,056/3,899,518
  6. Step 6: Final answer
    x = 18,161,745.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.