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Finding the Third Proportional to 9,624,662 and 21,401,237

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Solution

The third proportional to 9,624,662 and 21,401,237 is: 47,587,431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624,662 : 21,401,237 = 21,401,237 : x
  2. Step 2: Convert to fraction form
    9,624,662/21,401,237 = 21,401,237/x
  3. Step 3: Cross multiply
    9,624,662x = 21,401,237 × 21,401,237
  4. Step 4: Simplify right side
    9,624,662x = 458,012,945,130,169
  5. Step 5: Solve for x
    x = 458,012,945,130,169/9,624,662
  6. Step 6: Final answer
    x = 47,587,431.66

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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.