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Finding the Third Proportional to 9,624,648 and 21,401,208

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Solution

The third proportional to 9,624,648 and 21,401,208 is: 47,587,371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624,648 : 21,401,208 = 21,401,208 : x
  2. Step 2: Convert to fraction form
    9,624,648/21,401,208 = 21,401,208/x
  3. Step 3: Cross multiply
    9,624,648x = 21,401,208 × 21,401,208
  4. Step 4: Simplify right side
    9,624,648x = 458,011,703,859,264
  5. Step 5: Solve for x
    x = 458,011,703,859,264/9,624,648
  6. Step 6: Final answer
    x = 47,587,371.91

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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.