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Finding the Third Proportional to 13,697,536 and 20,564,324

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Solution

The third proportional to 13,697,536 and 20,564,324 is: 30,873,539.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697,536 : 20,564,324 = 20,564,324 : x
  2. Step 2: Convert to fraction form
    13,697,536/20,564,324 = 20,564,324/x
  3. Step 3: Cross multiply
    13,697,536x = 20,564,324 × 20,564,324
  4. Step 4: Simplify right side
    13,697,536x = 422,891,421,576,976
  5. Step 5: Solve for x
    x = 422,891,421,576,976/13,697,536
  6. Step 6: Final answer
    x = 30,873,539.71

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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.