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Finding the Third Proportional to 4,646,724 and 9,847,266

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Solution

The third proportional to 4,646,724 and 9,847,266 is: 20,868,174.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646,724 : 9,847,266 = 9,847,266 : x
  2. Step 2: Convert to fraction form
    4,646,724/9,847,266 = 9,847,266/x
  3. Step 3: Cross multiply
    4,646,724x = 9,847,266 × 9,847,266
  4. Step 4: Simplify right side
    4,646,724x = 96,968,647,674,756
  5. Step 5: Solve for x
    x = 96,968,647,674,756/4,646,724
  6. Step 6: Final answer
    x = 20,868,174.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.