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Finding the Third Proportional to 12,264,824 and 25,800,720

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Solution

The third proportional to 12,264,824 and 25,800,720 is: 54,275,312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264,824 : 25,800,720 = 25,800,720 : x
  2. Step 2: Convert to fraction form
    12,264,824/25,800,720 = 25,800,720/x
  3. Step 3: Cross multiply
    12,264,824x = 25,800,720 × 25,800,720
  4. Step 4: Simplify right side
    12,264,824x = 665,677,152,518,400
  5. Step 5: Solve for x
    x = 665,677,152,518,400/12,264,824
  6. Step 6: Final answer
    x = 54,275,312.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.