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Finding the Third Proportional to 13,847,571 and 32,054,620

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Solution

The third proportional to 13,847,571 and 32,054,620 is: 74,200,642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847,571 : 32,054,620 = 32,054,620 : x
  2. Step 2: Convert to fraction form
    13,847,571/32,054,620 = 32,054,620/x
  3. Step 3: Cross multiply
    13,847,571x = 32,054,620 × 32,054,620
  4. Step 4: Simplify right side
    13,847,571x = 1,027,498,663,344,400
  5. Step 5: Solve for x
    x = 1,027,498,663,344,400/13,847,571
  6. Step 6: Final answer
    x = 74,200,642.36

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.