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Finding the Third Proportional to 13,425,880 and 20,648,532

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Solution

The third proportional to 13,425,880 and 20,648,532 is: 31,756,717.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425,880 : 20,648,532 = 20,648,532 : x
  2. Step 2: Convert to fraction form
    13,425,880/20,648,532 = 20,648,532/x
  3. Step 3: Cross multiply
    13,425,880x = 20,648,532 × 20,648,532
  4. Step 4: Simplify right side
    13,425,880x = 426,361,873,755,024
  5. Step 5: Solve for x
    x = 426,361,873,755,024/13,425,880
  6. Step 6: Final answer
    x = 31,756,717.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.