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Finding the Third Proportional to 13,466,742 and 20,894,838

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Solution

The third proportional to 13,466,742 and 20,894,838 is: 32,420,184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466,742 : 20,894,838 = 20,894,838 : x
  2. Step 2: Convert to fraction form
    13,466,742/20,894,838 = 20,894,838/x
  3. Step 3: Cross multiply
    13,466,742x = 20,894,838 × 20,894,838
  4. Step 4: Simplify right side
    13,466,742x = 436,594,255,046,244
  5. Step 5: Solve for x
    x = 436,594,255,046,244/13,466,742
  6. Step 6: Final answer
    x = 32,420,184.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.