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Finding the Third Proportional to 13,466,748 and 20,894,847

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Solution

The third proportional to 13,466,748 and 20,894,847 is: 32,420,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466,748 : 20,894,847 = 20,894,847 : x
  2. Step 2: Convert to fraction form
    13,466,748/20,894,847 = 20,894,847/x
  3. Step 3: Cross multiply
    13,466,748x = 20,894,847 × 20,894,847
  4. Step 4: Simplify right side
    13,466,748x = 436,594,631,153,409
  5. Step 5: Solve for x
    x = 436,594,631,153,409/13,466,748
  6. Step 6: Final answer
    x = 32,420,197.60

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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.