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Finding the Third Proportional to 4,084,742 and 9,628,692

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Solution

The third proportional to 4,084,742 and 9,628,692 is: 22,697,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,084,742 : 9,628,692 = 9,628,692 : x
  2. Step 2: Convert to fraction form
    4,084,742/9,628,692 = 9,628,692/x
  3. Step 3: Cross multiply
    4,084,742x = 9,628,692 × 9,628,692
  4. Step 4: Simplify right side
    4,084,742x = 92,711,709,630,864
  5. Step 5: Solve for x
    x = 92,711,709,630,864/4,084,742
  6. Step 6: Final answer
    x = 22,697,078.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.