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Finding the Third Proportional to 9,624,698 and 21,401,324

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Solution

The third proportional to 9,624,698 and 21,401,324 is: 47,587,640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624,698 : 21,401,324 = 21,401,324 : x
  2. Step 2: Convert to fraction form
    9,624,698/21,401,324 = 21,401,324/x
  3. Step 3: Cross multiply
    9,624,698x = 21,401,324 × 21,401,324
  4. Step 4: Simplify right side
    9,624,698x = 458,016,668,952,976
  5. Step 5: Solve for x
    x = 458,016,668,952,976/9,624,698
  6. Step 6: Final answer
    x = 47,587,640.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.