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Finding the Third Proportional to 9,624,684 and 21,401,292

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Solution

The third proportional to 9,624,684 and 21,401,292 is: 47,587,567.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624,684 : 21,401,292 = 21,401,292 : x
  2. Step 2: Convert to fraction form
    9,624,684/21,401,292 = 21,401,292/x
  3. Step 3: Cross multiply
    9,624,684x = 21,401,292 × 21,401,292
  4. Step 4: Simplify right side
    9,624,684x = 458,015,299,269,264
  5. Step 5: Solve for x
    x = 458,015,299,269,264/9,624,684
  6. Step 6: Final answer
    x = 47,587,567.47

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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.