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Finding the Third Proportional to 23,298,120 and 36,468,238.50

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Solution

The third proportional to 23,298,120 and 36,468,238.50 is: 57,083,250.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,298,120 : 36,468,238.50 = 36,468,238.50 : x
  2. Step 2: Convert to fraction form
    23,298,120/36,468,238.50 = 36,468,238.50/x
  3. Step 3: Cross multiply
    23,298,120x = 36,468,238.50 × 36,468,238.50
  4. Step 4: Simplify right side
    23,298,120x = 1,329,932,419,292,882.25
  5. Step 5: Solve for x
    x = 1,329,932,419,292,882.25/23,298,120
  6. Step 6: Final answer
    x = 57,083,250.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.