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Finding the Third Proportional to 13,974,536 and 22,221,530

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Solution

The third proportional to 13,974,536 and 22,221,530 is: 35,335,441.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974,536 : 22,221,530 = 22,221,530 : x
  2. Step 2: Convert to fraction form
    13,974,536/22,221,530 = 22,221,530/x
  3. Step 3: Cross multiply
    13,974,536x = 22,221,530 × 22,221,530
  4. Step 4: Simplify right side
    13,974,536x = 493,796,395,540,900
  5. Step 5: Solve for x
    x = 493,796,395,540,900/13,974,536
  6. Step 6: Final answer
    x = 35,335,441.23

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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.