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Finding the Third Proportional to 13,706,536 and 20,562,420

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Solution

The third proportional to 13,706,536 and 20,562,420 is: 30,847,554.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706,536 : 20,562,420 = 20,562,420 : x
  2. Step 2: Convert to fraction form
    13,706,536/20,562,420 = 20,562,420/x
  3. Step 3: Cross multiply
    13,706,536x = 20,562,420 × 20,562,420
  4. Step 4: Simplify right side
    13,706,536x = 422,813,116,256,400
  5. Step 5: Solve for x
    x = 422,813,116,256,400/13,706,536
  6. Step 6: Final answer
    x = 30,847,554.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.