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Finding the Third Proportional to 27,202,536 and 57,475,377

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Solution

The third proportional to 27,202,536 and 57,475,377 is: 121,437,904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,202,536 : 57,475,377 = 57,475,377 : x
  2. Step 2: Convert to fraction form
    27,202,536/57,475,377 = 57,475,377/x
  3. Step 3: Cross multiply
    27,202,536x = 57,475,377 × 57,475,377
  4. Step 4: Simplify right side
    27,202,536x = 3,303,418,961,292,129
  5. Step 5: Solve for x
    x = 3,303,418,961,292,129/27,202,536
  6. Step 6: Final answer
    x = 121,437,904.22

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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.