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Finding the Third Proportional to 27,202,410 and 57,475,170

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Solution

The third proportional to 27,202,410 and 57,475,170 is: 121,437,591.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,202,410 : 57,475,170 = 57,475,170 : x
  2. Step 2: Convert to fraction form
    27,202,410/57,475,170 = 57,475,170/x
  3. Step 3: Cross multiply
    27,202,410x = 57,475,170 × 57,475,170
  4. Step 4: Simplify right side
    27,202,410x = 3,303,395,166,528,900
  5. Step 5: Solve for x
    x = 3,303,395,166,528,900/27,202,410
  6. Step 6: Final answer
    x = 121,437,591.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.