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Finding the Third Proportional to 26,083,946 and 57,206,740

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Solution

The third proportional to 26,083,946 and 57,206,740 is: 125,464,571.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,083,946 : 57,206,740 = 57,206,740 : x
  2. Step 2: Convert to fraction form
    26,083,946/57,206,740 = 57,206,740/x
  3. Step 3: Cross multiply
    26,083,946x = 57,206,740 × 57,206,740
  4. Step 4: Simplify right side
    26,083,946x = 3,272,611,101,427,600
  5. Step 5: Solve for x
    x = 3,272,611,101,427,600/26,083,946
  6. Step 6: Final answer
    x = 125,464,571.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.