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Finding the Third Proportional to 12,422,907 and 25,448,197.50

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Solution

The third proportional to 12,422,907 and 25,448,197.50 is: 52,130,371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422,907 : 25,448,197.50 = 25,448,197.50 : x
  2. Step 2: Convert to fraction form
    12,422,907/25,448,197.50 = 25,448,197.50/x
  3. Step 3: Cross multiply
    12,422,907x = 25,448,197.50 × 25,448,197.50
  4. Step 4: Simplify right side
    12,422,907x = 647,610,755,999,006.25
  5. Step 5: Solve for x
    x = 647,610,755,999,006.25/12,422,907
  6. Step 6: Final answer
    x = 52,130,371.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.