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Finding the Third Proportional to 57,222,009 and 122,625,666

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Solution

The third proportional to 57,222,009 and 122,625,666 is: 262,784,446.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,222,009 : 122,625,666 = 122,625,666 : x
  2. Step 2: Convert to fraction form
    57,222,009/122,625,666 = 122,625,666/x
  3. Step 3: Cross multiply
    57,222,009x = 122,625,666 × 122,625,666
  4. Step 4: Simplify right side
    57,222,009x = 15,037,053,961,943,556
  5. Step 5: Solve for x
    x = 15,037,053,961,943,556/57,222,009
  6. Step 6: Final answer
    x = 262,784,446.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.