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Finding the Third Proportional to 9,624,636 and 21,401,188

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Solution

The third proportional to 9,624,636 and 21,401,188 is: 47,587,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624,636 : 21,401,188 = 21,401,188 : x
  2. Step 2: Convert to fraction form
    9,624,636/21,401,188 = 21,401,188/x
  3. Step 3: Cross multiply
    9,624,636x = 21,401,188 × 21,401,188
  4. Step 4: Simplify right side
    9,624,636x = 458,010,847,811,344
  5. Step 5: Solve for x
    x = 458,010,847,811,344/9,624,636
  6. Step 6: Final answer
    x = 47,587,342.30

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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.