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Finding the Third Proportional to 9,624,678 and 21,401,280

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Solution

The third proportional to 9,624,678 and 21,401,280 is: 47,587,543.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624,678 : 21,401,280 = 21,401,280 : x
  2. Step 2: Convert to fraction form
    9,624,678/21,401,280 = 21,401,280/x
  3. Step 3: Cross multiply
    9,624,678x = 21,401,280 × 21,401,280
  4. Step 4: Simplify right side
    9,624,678x = 458,014,785,638,400
  5. Step 5: Solve for x
    x = 458,014,785,638,400/9,624,678
  6. Step 6: Final answer
    x = 47,587,543.77

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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.