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Finding the Third Proportional to 13,697,538 and 20,564,327

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Solution

The third proportional to 13,697,538 and 20,564,327 is: 30,873,544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697,538 : 20,564,327 = 20,564,327 : x
  2. Step 2: Convert to fraction form
    13,697,538/20,564,327 = 20,564,327/x
  3. Step 3: Cross multiply
    13,697,538x = 20,564,327 × 20,564,327
  4. Step 4: Simplify right side
    13,697,538x = 422,891,544,962,929
  5. Step 5: Solve for x
    x = 422,891,544,962,929/13,697,538
  6. Step 6: Final answer
    x = 30,873,544.21

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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.