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Finding the Third Proportional to 23,689,768 and 51,438,608

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Solution

The third proportional to 23,689,768 and 51,438,608 is: 111,690,852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,689,768 : 51,438,608 = 51,438,608 : x
  2. Step 2: Convert to fraction form
    23,689,768/51,438,608 = 51,438,608/x
  3. Step 3: Cross multiply
    23,689,768x = 51,438,608 × 51,438,608
  4. Step 4: Simplify right side
    23,689,768x = 2,645,930,392,977,664
  5. Step 5: Solve for x
    x = 2,645,930,392,977,664/23,689,768
  6. Step 6: Final answer
    x = 111,690,852.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.