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Finding the Third Proportional to 22,760,868 and 34,142,028.75

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Solution

The third proportional to 22,760,868 and 34,142,028.75 is: 51,214,133.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,760,868 : 34,142,028.75 = 34,142,028.75 : x
  2. Step 2: Convert to fraction form
    22,760,868/34,142,028.75 = 34,142,028.75/x
  3. Step 3: Cross multiply
    22,760,868x = 34,142,028.75 × 34,142,028.75
  4. Step 4: Simplify right side
    22,760,868x = 1,165,678,127,165,826.50
  5. Step 5: Solve for x
    x = 1,165,678,127,165,826.50/22,760,868
  6. Step 6: Final answer
    x = 51,214,133.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.