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Finding the Third Proportional to 9,692,742 and 15,206,388

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Solution

The third proportional to 9,692,742 and 15,206,388 is: 23,856,431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692,742 : 15,206,388 = 15,206,388 : x
  2. Step 2: Convert to fraction form
    9,692,742/15,206,388 = 15,206,388/x
  3. Step 3: Cross multiply
    9,692,742x = 15,206,388 × 15,206,388
  4. Step 4: Simplify right side
    9,692,742x = 231,234,236,006,544
  5. Step 5: Solve for x
    x = 231,234,236,006,544/9,692,742
  6. Step 6: Final answer
    x = 23,856,431.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.